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| 徳島大学 ⟩
大学院社会産業理工学研究部 ⟩
理工学域 ⟩
数理科学系 ⟩
応用数理分野 ⟩
徳島大学 ⟩ 理工学部 ⟩ 理工学科 ⟩ 数理科学コース ⟩ 応用数理講座 ⟩ |
(researchmapへのインポート用ファイル) [PDF解説] [researchmapへの自動反映について] |
教授 : 小野 公輔 |
| ○ | 非線形解析 (Nonlinear Analysis) |
| ○ | 非線形解析 (波動方程式, 漸近挙動, 波動現象, プラズマ, 拡散方程式) |
| 1. | 小野 公輔 : 新しく始める 微分方程式, サイエンス社, 東京, 2021年1月. |
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| 2. | 石丸 善康, 伊藤 伸一, 宇野 剛史, 岡村 康弘, 大平 健司, 小野 公輔, 掛井 秀一, 金西 計英, 澤田 麻衣子, 蓮沼 徹, 古屋 S. 玲, 松浦 健二, 松本 和幸, 土岐 順子, 阿部 香織, 山﨑 紅, 辰巳 丈夫, 勝村 幸博 : 情報科学入門, 日経BP社, 東京, 2019年4月. |
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| 3. | 石丸 善康, 伊藤 伸一, 宇野 剛史, 岡村 康弘, 大平 健司, 小野 公輔, 掛井 秀一, 金西 計英, 澤田 麻衣子, 蓮沼 徹, 古屋 S. 玲, 松浦 健二, 松本 和幸, 土岐 順子, 阿部 香織, 山﨑 紅, 辰巳 丈夫, 勝村 幸博 : 情報科学入門, 日経BP社, 東京, 2018年4月. |
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| 4. | 小野 公輔, 蓮沼 徹 : 新しく始める 線形代数, サイエンス社, 東京, 2017年11月. |
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| 5. | 石丸 善康, 伊藤 伸一, 宇野 剛史, 岡村 康弘, 大平 健司, 小野 公輔, 掛井 秀一, 金西 計英, 澤田 麻衣子, 蓮沼 徹, 古屋 S. 玲, 松浦 健二, 松本 和幸, 土岐 順子, 阿部 香織, 山﨑 紅, 辰巳 丈夫, 勝村 幸博 : 情報科学入門, 日経BP社, 東京, 2017年4月. |
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| 6. | 香田 温人, 小野 公輔 : 初歩からの複素解析, 学術図書出版社, 東京, 2005年3月. |
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| 7. | 守安 一峰, 小野 公輔 : 理工系の線形代数学入門, サイエンス社, 東京, 2003年12月. |
| 1. | Toru Hasunuma and Kosuke Ono : Connectivity keeping trees in 2-connected graphs, Journal of Graph Theory, Vol.94, No.1, 20-29, 2020. (DOI: 10.1002/jgt.22504, Elsevier: Scopus) |
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| 2. | Kosuke Ono : Global existence and decay estimates for nonlinear degenerate Kirchhoff strings with dissipation, Advances in Mathematical Sciences and Applications, Vol.24, No.1, 167-183, 2014. |
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| 3. | Kosuke Ono : Lower decay estimates for non-degenerate dissipative wave equations of Kirchhoff type, Scientiae Mathematicae Japonicae, Vol.77, No.3, 415-425, 2014. (DOI: 10.32219/isms.77.3_415, CiNii: 1390564238091280512) |
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| 4. | Kosuke Ono : Global existence and decay properties of solutions for coupled degenerate dissipative hyperbolic systems of Kirchhoff type, Funkcialaj Ekvacioj, Vol.57, No.2, 319-337, 2014. (DOI: 10.1619/fesi.57.319, Elsevier: Scopus) |
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| 5. | Kosuke Ono : Decay estimates of solutions for mildly degenerate Kirchhoff type dissipative wave equations in unbounded domains, Asymptotic Analysis, Vol.88, No.1-2, 75-92, 2014. (DOI: 10.3233/ASY-141215, Elsevier: Scopus) |
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| 6. | Kosuke Ono : On decay estimates of solutions for some degenerate nonlinear Kirchhoff strings with dissipation, International Journal of Applied Mathematics, Vol.26, No.3, 349-361, 2013. (DOI: 10.12732/ijam.v26i3.9) |
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| 7. | Kosuke Ono : Global Existence and Decay Rate for a Coupled Degenerate Hyperbolic System with Dissipation, Scientiae Mathematicae Japonicae, Vol.74, No.1, 1-13, 2011. (DOI: 10.32219/isms.74.1_1, CiNii: 1390564238104841344) |
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| 8. | Kosuke Ono : Decay Estimates for Coupled Degenerate Hyperbolic System with Strong Damping, International Journal of Applied Mathematics, Vol.24, No.3, 383-392, 2011. |
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| 9. | Kosuke Ono : On sharp decay estimates of solutions for mildly degenerate dissipative wave equations of Kirchhoff type, Mathematical Methods in the Applied Sciences, Vol.34, No.11, 1339-1352, 2011. (DOI: 10.1002/mma.1443) |
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| 10. | Kosuke Ono : On Decay Properties of Solutions for Degenerate Strongly Damped Wave equations of Kirchhoff Type, Journal of Mathematical Analysis and Applications, Vol.381, No.1, 229-239, 2011. (DOI: 10.1016/j.jmaa.2011.03.034) |
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| 11. | Kosuke Ono : L1 estimates for dissipative wave equations in exterior domains, Journal of Mathematical Analysis and Applications, Vol.333, No.2, 1079-1092, 2007. (DOI: 10.1016/j.jmaa.2006.01.031) |
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| 12. | Kosuke Ono : Global Solvability and Lp Decay for the Semilinear Dissipative Wave Equations in Four and Five Dimensions, Funkcialaj Ekvacioj, Vol.49, No.2, 215-233, 2006. (DOI: 10.1619/fesi.49.215) |
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| 13. | Kosuke Ono : On L^1 estimates for solutions of dissipative wave equations, Nonlinear Analysis: Theory, Methods & Applications, Vol.63, No.5-7, 1769-1777, 2005. (DOI: 10.1016/j.na.2005.03.028) |
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| 14. | Kosuke Ono : Lp decay problem for the dissipative wave equation in odd dimensions, Journal of Mathematical Analysis and Applications, Vol.310, No.2, 347-361, 2005. (DOI: 10.1016/j.jmaa.2004.12.057) |
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| 15. | Kosuke Ono : L^1 estimates for dissipative wave equations in highter dimensions, RIMS Kokyuroku, Vol.1417, 49-59, 2005. |
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| 16. | Kosuke Ono : L^p decay problem for the dissipative wave equation in even dimensions, Mathematical Methods in the Applied Sciences, Vol.27, No.16, 1843-1863, 2004. (DOI: 10.1002/mma.523) |
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| 17. | Kosuke Ono : Decay estimates for dissipative wave equations in exterior domains, Journal of Mathematical Analysis and Applications, Vol.286, No.2, 540-562, 2003. (DOI: 10.1016/S0022-247X(03)00489-X) |
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| 18. | Kosuke Ono : Global existence and asymptotic behavior of small solutions for semilinear dissipative wave equations, Discrete and Continuous Dynamical Systems. Series A, Vol.9, No.3, 651-662, 2003. (DOI: 10.3934/dcds.2003.9.651, Elsevier: Scopus) |
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| 19. | Kosuke Ono : On L1 decay problem for the dissipative wave equation, Mathematical Methods in the Applied Sciences, Vol.26, No.8, 691-701, 2003. (DOI: 10.1002/mma.391) |
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| 20. | Kosuke Ono : Global existence of regular solutions for the Vlasov--Poisson--Fokker--Planck system, Journal of Mathematical Analysis and Applications, Vol.263, No.2, 626-636, 2001. (DOI: 10.1006/jmaa.2001.7640, Elsevier: Scopus) |
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| 21. | Kosuke Ono : Asymptotic behavior for the Vlasov--Poisson--Fokker--Planck system and the collision-less Vlasov--Poisson system, Nonlinear Analysis: Theory, Methods & Applications, Vol.47, No.4, 2539-2550, 2001. (DOI: 10.1016/S0362-546X(01)00376-5, Elsevier: Scopus) |
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| 22. | Kosuke Ono : On the global existence and decay of solutions for semilinear telegraph equations, International Journal of Applied Mathematics, Vol.2, No.9, 1121-1136, 2000. |
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| 23. | Kosuke Ono and Strauss A. Walter : Regular solutions of the Vlasov--Poisson--Fokker--Planck system, Discrete and Continuous Dynamical Systems. Series A, Vol.6, No.4, 751-772, 2000. (Elsevier: Scopus) |
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| 24. | Kosuke Ono : Asymptotic behavior for degenerate nonlinear Kirchhoff type equations with damping, Funkcialaj Ekvacioj, Vol.43, No.2, 381-393, 2000. |
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| 25. | Kosuke Ono : Global existence, asymptotic behavior, and global non-existence of solutions for damped nonlinear wave equations of Kirchhoff type in the whole space, Mathematical Methods in the Applied Sciences, Vol.23, No.6, 535-560, 2000. (DOI: 10.1002/(SICI)1099-1476(200004)23:6<535::AID-MMA125>3.0.CO;2-H, Elsevier: Scopus) |
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| 26. | Kosuke Ono : Global solvability for degenerate Kirchhoff equations with weak dissipation, Mathematica Japonica, Vol.50, No.3, 409-413, 1999. |
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| 27. | Kosuke Ono : The time decay to the Cauchy problem for semilinear dissipative wave equations, Advances in Mathematical Sciences and Applications, Vol.9, No.1, 243-262, 1999. |
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| 28. | Kosuke Ono : Asymptiotic behavior of solutions for damped Kirchhoff equations in unbounded domain, Communications in Applied Analysis, Vol.3, No.1, 101-114, 1999. |
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| 29. | Kosuke Ono : On global existence and asymptotic stability of solutions of mildly degenerate dissipative nonlinear wave equations of Kirchhoff type, Asymptotic Analysis, Vol.16, No.3, 299-314, 1998. |
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| 30. | Kosuke Ono : Asymptotic behavior of solutions of dissipative nonlinear wave equations with large data, Eighth International Colloquium on Differential Equations, Vol.I, 101-110, 1998. |
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| 31. | Kosuke Ono : On global solutions and blow-up solutions of nonlinear Kirchhoff strings with nonlinear dissipation, Journal of Mathematical Analysis and Applications, Vol.216, 321-342, 1997. |
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| 32. | Kosuke Ono : Blowing up and global existence of solutions for some degenerate nonlinear wave equations with some dissipation, Nonlinear Analysis: Theory, Methods & Applications, Vol.30, 4449-4457, 1997. |
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| 33. | Kosuke Ono : Sharp decay estimates of solutions for mildly degenerate dissipative Kirchhoff equations, Kyushu Journal of Mathematics, Vol.51, 439-451, 1997. |
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| 34. | Kosuke Ono : Remark on blowing up phenomena for nonlinear Kirchhoff strings, Mathematica Japonica, Vol.46, 363-367, 1997. |
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| 35. | Nakao Mitsuhiro and Kosuke Ono : Global existence and decay properties of solutions for some mildly degenerate nonlinear dissipative Kirchhoff strings, Funkcialaj Ekvacioj, Vol.40, 255-270, 1997. |
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| 36. | Kosuke Ono : Global existence, decay, and blowup of solutions for some mildly degenerate nonlinear Kirchhoff strings, Journal of Differential Equations, Vol.137, 273-301, 1997. |
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| 37. | Kosuke Ono : Mildly degenerate Kirchhoff equations with damping in unbounded domain, Applicable Analysis, Vol.67, 221-232, 1997. |
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| 38. | Kosuke Ono : On global existence, asymptotic stability and blowing up of solutions for some degenerate nonlinear wave equations of Kirchhoff type with a strong dissipation, Mathematical Methods in the Applied Sciences, Vol.20, 151-177, 1997. |
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| 39. | Nakao Mitsuhiro and Kosuke Ono : Global existence to the Cauchy problem of the semilinear wave equation with a nonlinear dissipation, Funkcialaj Ekvacioj, Vol.38, 417-431, 1995. |
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| 40. | Kawashima Shuichi, Nakao Mitsuhiro and Kosuke Ono : On the decay property of solutions to the Cauchy problem of the semilinear wave equation with a dissipative term, Journal of Mathematical Society of Japan, Vol.47, 617-653, 1995. |
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| 41. | Kosuke Ono and Nishihara Kenji : On a nonlinear degenerate integrodifferential equation of hyperbolic type with a strong dissipation, Advances in Mathematical Sciences and Applications, Vol.5, 457-476, 1995. |
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| 42. | Kosuke Ono : A stretched string equation with a boundary dissipation, Kyushu Journal of Mathematics, Vol.48, 265-281, 1994. |
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| 43. | Nishihara Kenji and Kosuke Ono : Asymptotic behaviors of solutions of some nonlinear oscillation equations with strong damping, Advances in Mathematical Sciences and Applications, Vol.4, 285-295, 1994. |
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| 44. | Kosuke Ono : On time decays for some semilinear wave equation with a dissipative term, Pusan Kyongnam Mathematical Journal, Vol.10, 135-172, 1994. |
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| 45. | Nakao Mitsuhiro and Kosuke Ono : Existence of global solutions to the Cauchy problem for the semilinear dissipative wave equations, Mathematische Zeitschrift, Vol.214, 325-342, 1993. |
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| 46. | Kosuke Ono : On global smooth solution for the quashi-linear wave equation with a dissipation, Memoirs of the Faculty of Science, Kyushu University Ser.A, Vol.46, 229-249, 1992. |
| 1. | Kosuke Ono : Asymptotic properties of solutions for Lanchester type models with time dependent coefficients, Journal of Mathematics, The University of Tokushima, Vol.57, 85-92, 2023. |
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| 2. | Kosuke Ono : Decay Properties for Mildly Degenerate Kirchhoff Type Dissipative Wave Equations in Bounded Domains, Journal of Mathematics, The University of Tokushima, Vol.56, 77-85, 2022. (徳島大学機関リポジトリ: 117902) |
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| 3. | Kosuke Ono : Global Solvability for Mildly Degenerate Kirchhoff Type Dissipative Wave Equations in Bounded Domains, Journal of Mathematics, The University of Tokushima, Vol.55, 11-18, 2021. (徳島大学機関リポジトリ: 116693, CiNii: 1050009371666963328) |
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| 4. | Kosuke Ono : Decay rates of solutions for non-degenerate Kirchhoff type dissipative wave equations, Journal of Mathematics, The University of Tokushima, Vol.54, 57-68, 2020. (徳島大学機関リポジトリ: 115954, CiNii: 1050006585497540352) |
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| 5. | Kosuke Ono : Upper decay estimates for non-degenerate Kirchhoff type dissipative wave equations, Journal of Mathematics, The University of Tokushima, Vol.53, 55-66, 2019. (徳島大学機関リポジトリ: 115942, CiNii: 1050006585515195008) |
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| 6. | Kosuke Ono : Lower decay estimates for non-degenerate Kirchhoff type dissipative wave equations, Journal of Mathematics, The University of Tokushima, Vol.52, 39-52, 2018. (徳島大学機関リポジトリ: 112902) |
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| 7. | Kosuke Ono : Asymptotic behavior of solutions for Kirchhoff type dissipative wave equations in unbounded domains, Journal of Mathematics, The University of Tokushima, Vol.51, 37-54, 2017. (徳島大学機関リポジトリ: 111825, CiNii: 1050282812443148928) |
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| 8. | Kosuke Ono : On global solvability for some degenerate dissipative nonlinear Kirchhoff strings, Journal of Mathematics, The University of Tokushima, Vol.50, 61-80, 2016. (徳島大学機関リポジトリ: 110914, CiNii: 1050845762396363264) |
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| 9. | Kosuke Ono : Time decay for some degenerate hyperbolic systems with strong dissipations, Journal of Mathematics, The University of Tokushima, Vol.49, 23-38, 2015. (徳島大学機関リポジトリ: 110906, CiNii: 1050845762396361088) |
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| 10. | Kosuke Ono : On existence of global solutions for some mildly degenerate nonlinear Kirchhoff strings with linear dissipation, Journal of Mathematics, The University of Tokushima, Vol.46, 13-22, 2012. (徳島大学機関リポジトリ: 104984, CiNii: 1571417127877207680) |
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| 11. | Kosuke Ono : Energy Decay for a dissipative wave equation with compactly supported data, Journal of Mathematics, The University of Tokushima, Vol.45, 41-47, 2011. (徳島大学機関リポジトリ: 84171, CiNii: 1050282812440548864) |
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| 12. | Kosuke Ono : On decay properties of solutions for the Vlasov--Poisson system, Journal of Mathematics, The University of Tokushima, Vol.43, No.0, 25-30, 2009. (徳島大学機関リポジトリ: 71387, CiNii: 1050001337463710848) |
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| 13. | Kosuke Ono : On the blowup problem for nonlinear Kirchhoff equations with nonlinear dissipative terms, Journal of Mathematics, Tokushima University, Vol.34, 1-8, 2001. (徳島大学機関リポジトリ: 136) |
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| 14. | Kosuke Ono : Asymptotic behavior of solutions for semilinear telegraph equations, Journal of Mathematics, Tokushima University, Vol.31, 11-22, 1998. (徳島大学機関リポジトリ: 122) |
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| 15. | Kosuke Ono : Blowup phenomena for nonlinear dissipative wave equations, Journal of Mathematics, Tokushima University, Vol.30, 19-43, 1996. (徳島大学機関リポジトリ: 116) |
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| 16. | Kosuke Ono : Global existence and decay properties of solutions for some degenerate nonlinear wave equation with a strong dissipation, Journal of Mathematics, Tokushima University, Vol.29, 43-54, 1995. (徳島大学機関リポジトリ: 112) |
| 1. | Kosuke Ono : On L^1 estimates for solutions of dissipative wave equations, WCNA2004, Jul. 2004. |
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| 2. | Kosuke Ono : Asymptotic behaviors for the Vlasov--Poisson--Fokker--Planck system and the collision-less Vlasov--Poisson system, The Third World Congress of Nonlinear Analysts, Jul. 2000. |
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| 3. | Kosuke Ono : On the Vlasov--Poisson--Fokker--Planck equation, PDE SEMINAR, Brown University, USA, USA, Sep. 1999. |
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| 4. | Kosuke Ono : Asymptotic stability of solutions of dissipative nonlinear wave equations with large data, Eighth International Colloquium on Differential Equations, Bulgaria, Aug. 1997. |
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| 5. | Kosuke Ono : Global existence and blow-up of solutions for mildly degenerate nonlinear wave equations of Kirchhoff type with a dissipative term, Fifth International Conference on Evolution Equations and Their Applications to Technology, Oct. 1996. |
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| 6. | Kosuke Ono : Blowing up and global existence of solutions for some degenerate nonlinear wave equations with some dissipation, The Second World Congress of Nonlinear Analysts, Greece, Jul. 1996. |
| 1. | 小野 公輔 : Global solvability for the semilinear dissipative wave equations in four and five dimensions, |
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| 2. | 小野 公輔 : Global existence and asymptotic behavior of small solutions for semilinear dissipative wave equations, 日本数学会年会, |
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| 3. | 小野 公輔 : On L1 decay problem for the dissipative wave equation, 日本数学会年会, |
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| 4. | 片山 真一, 小野 公輔, 住 彩花, 近藤 彰, 松澤 康平 : 海野十三と暗号，虫食い算, 海野十三忌2016, 2016年5月. |
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| 5. | 片山 真一, 小野 公輔, 住 彩花, 近藤 彰, 松澤 康平 : 海野十三と数学パズル, 日本科学史学会第19回西日本研究集会, 2015年11月. |
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| 6. | 小野 公輔 : Global solvability and decay estimates for mildly degenerate dissipative wave equations of Kirchhoff type, 2014日本数学会年会, 2014年3月. |
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| 7. | 小野 公輔 : On asymptotic behaviour for nondegenerate Kirchhoff type dissipative wave equations, 日本数学会中国四国支部例会, 2014年1月. |
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| 8. | 小野 公輔 : On decay estimates for some degenerate nonlinear Kirchhoff strings with dissipation, 日本数学会中国四国支部例会, 2013年1月. |
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| 9. | 小野 公輔 : 退化した消散型波動方程式の時間大域的可解性と減衰評価式, 日本数学会四国例会, 2012年1月. |
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| 10. | 小野 公輔 : Global solvability and decay estimates for mildly degenerate dissipative wave equations of Kirchhoff type, 日本数学会年会, 2011年3月. |
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| 11. | 豊田 哲也, 石田 基広, 小野 公輔, 掛井 秀一, 佐藤 高則, 佐藤 充宏, 内藤 徹, 西山 賢一, 村上 公一, 真岸 孝一, 矢部 拓也, 行實 鉄平, 川野 卓二, 吉田 博, 田中 さやか : 学部共通科目「情報処理の基礎」の授業開発と実施に関する研究, 平成22年度徳島大学教育カンファレンスin徳島発表抄録集, 16-17, 2011年1月. |
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| 12. | 小野 公輔 : 外部領域における dissipative wave equation の解の L^1 評価について, 2006年11月. |
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| 13. | 小野 公輔 : On L^1 estimates for dissipative wave equations in exterior domains, 2005年9月. |
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| 14. | 小野 公輔 : Regularity and decay problems for the dissipative wave equation with a critical nonlinearity, 日本数学会年会, 2002年3月. |
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| 15. | 小野 公輔 : Regularity and decay problems for the dissipative wave equation with a critical nonlinearity, 日本数学会年会, 2002年3月. |
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| 16. | 小野 公輔 : Regularity and decay problems for the dissipative wave equation with a critical nonlinearity without small data conditions, 第27回発展方程式研究会, 2001年12月. |
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| 17. | 小野 公輔 : Global existence of regular solutions for the Vlasov--Poisson--Fokker--Planck system, 日本数学会年会, 2001年3月. |
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| 18. | 小野 公輔 : On regular solutions for the Vlasov--Poisson--Fokker--Planck system, 第18回 九州における偏微分方程式研究集会, 2001年1月. |
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| 19. | 小野 公輔 : Decay property for Vlasov-type kinetic equations, 第26回発展方程式研究会, 2000年12月. |
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| 20. | 小野 公輔 : Asymptotic behavior for the VPFP system with small data, 2000年度日本数学会春期総合分科会, 2000年9月. |
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| 21. | 小野 公輔 : Existence and uniqueness of regular solutions of the Vlasov--Poisson--Fokker--Planck system, 2000年度日本数学会春期総合分科会, 2000年9月. |
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| 22. | 小野 公輔 : On the asymptotic behavior of solutions for damped nonlinear hyperbolic equations of Kirchhoff type, 第23回偏微分方程式札幌シンポジウム, 1998年7月. |
| 1. | 小野 公輔 : Asymptotic Behavior for the Vlasov--Poisson--Fokker--Planck System, 関数方程式セミナ-, 2000年1月. |
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| 2. | Kosuke Ono : Global existence and blow-up of solutions for mildly degenerate nonlinear wave equations of Kirchhoff type with a dissipative term, Fifth International Conference on Evolution Equations and Their Applications to Technology, Sep. 1999. |