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Research Activity

Field of Study

Nonlinear Analysis

Subject of Study

Nonlinear Analysis (波動方程式, 漸近挙動, 波動現象, プラズマ, 拡散方程式)

Book / Paper

Book:

1.Yoshiyasu Ishimaru, Shin-ichi Ito, Takeshi Uno, Yasuhiro Okamura, Kenji Ohira, Kosuke Ono, Hidekazu Kakei, Kazuhide Kanenishi, Maiko Sawada, Toru Hasunuma, Ray S. Furuya, Kenji Matsuura, Kazuyuki Matsumoto, 土岐 順子, 阿部 香織, 山﨑 紅, 辰巳 丈夫 and 勝村 幸博 :
情報科学入門,
日経BP社, Tokyo, Apr. 2018.
2.Kosuke Ono and Toru Hasunuma :
新しく始める 線形代数,
サイエンス社, Tokyo, Nov. 2017.
3.Yoshiyasu Ishimaru, Shin-ichi Ito, Takeshi Uno, Yasuhiro Okamura, Kenji Ohira, Kosuke Ono, Hidekazu Kakei, Kazuhide Kanenishi, Maiko Sawada, Toru Hasunuma, Ray S. Furuya, Kenji Matsuura, Kazuyuki Matsumoto, 土岐 順子, 阿部 香織, 山﨑 紅, 辰巳 丈夫 and 勝村 幸博 :
情報科学入門,
日経BP社, Tokyo, Apr. 2017.
4.Atsuhito Kohda and Kosuke Ono :
初歩からの複素解析,
GAKUJUTU TOSHO SHUPPAN-SHA, Tokyo, Mar. 2005.
5.Kazumine Moriyasu and Kosuke Ono :
理工系の線形代数学入門,
サイエンス社, Tokyo, Dec. 2003.

Academic Paper (Judged Full Paper):

1.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.
2.Kosuke Ono :
Lower decay estimates for non-degenerate dissipative wave equations of Kirchhoff type,
Scientiae Mathematicae Japonicae, Vol.77, No.3, 415-425, 2014.
3.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)
4.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)
5.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)
6.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.
7.Kosuke Ono :
Decay Estimates for Coupled Degenerate Hyperbolic System with Strong Damping,
International Journal of Applied Mathematics, Vol.24, No.3, 383-392, 2011.
8.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)
9.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)
10.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)
11.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)
12.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)
13.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)
14.Kosuke Ono :
L^1 estimates for dissipative wave equations in highter dimensions,
RIMS Kokyuroku, Vol.1417, 49-59, 2005.
15.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)
16.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)
17.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)
18.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)
19.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)
20.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)
21.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.
22.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)
23.Kosuke Ono :
Asymptotic behavior for degenerate nonlinear Kirchhoff type equations with damping,
Funkcialaj Ekvacioj, Vol.43, No.2, 381-393, 2000.
24.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)
25.Kosuke Ono :
Global solvability for degenerate Kirchhoff equations with weak dissipation,
Mathematica Japonica, Vol.50, No.3, 409-413, 1999.
26.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.
27.Kosuke Ono :
Asymptiotic behavior of solutions for damped Kirchhoff equations in unbounded domain,
Communications in Applied Analysis, Vol.3, No.1, 101-114, 1999.
28.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.
29.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.
30.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.
31.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.
32.Kosuke Ono :
Sharp decay estimates of solutions for mildly degenerate dissipative Kirchhoff equations,
Kyushu Journal of Mathematics, Vol.51, 439-451, 1997.
33.Kosuke Ono :
Remark on blowing up phenomena for nonlinear Kirchhoff strings,
Mathematica Japonica, Vol.46, 363-367, 1997.
34.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.
35.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.
36.Kosuke Ono :
Mildly degenerate Kirchhoff equations with damping in unbounded domain,
Applicable Analysis, Vol.67, 221-232, 1997.
37.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.
38.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.
39.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.
40.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.
41.Kosuke Ono :
A stretched string equation with a boundary dissipation,
Kyushu Journal of Mathematics, Vol.48, 265-281, 1994.
42.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.
43.Kosuke Ono :
On time decays for some semilinear wave equation with a dissipative term,
Pusan Kyongnam Mathematical Journal, Vol.10, 135-172, 1994.
44.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.
45.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.

Academic Paper (Unrefereed Paper):

1.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.
2.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.
(Tokushima University Institutional Repository: 111825)
3.Kosuke Ono :
On global solvability for some degenerate dissipative nonlinear Kirchhoff strings,
Journal of Mathematics, The University of Tokushima, Vol.50, 61-80, 2016.
(Tokushima University Institutional Repository: 110914)
4.Kosuke Ono :
Time decay for some degenerate hyperbolic systems with strong dissipations,
Journal of Mathematics, The University of Tokushima, Vol.49, 23-38, 2015.
(Tokushima University Institutional Repository: 110906)
5.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.
(Tokushima University Institutional Repository: 104984,   CiNii: 110009514567)
6.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.
(Tokushima University Institutional Repository: 84171,   CiNii: 110008729453)
7.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.
(Tokushima University Institutional Repository: 71387,   CiNii: 110007492239)
8.Kosuke Ono :
On the blowup problem for nonlinear Kirchhoff equations with nonlinear dissipative terms,
Journal of Mathematics Tokushima University, Vol.34, 1-8, 2001.
(Tokushima University Institutional Repository: 136)
9.Kosuke Ono :
Asymptotic behavior of solutions for semilinear telegraph equations,
Journal of Mathematics Tokushima University, Vol.31, 11-22, 1998.
(Tokushima University Institutional Repository: 122)
10.Kosuke Ono :
Blowup phenomena for nonlinear dissipative wave equations,
Journal of Mathematics Tokushima University, Vol.30, 19-43, 1996.
(Tokushima University Institutional Repository: 116)
11.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.
(Tokushima University Institutional Repository: 112)

Proceeding of International Conference:

1.Kosuke Ono :
On L^1 estimates for solutions of dissipative wave equations,
WCNA2004, Jul. 2004.
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.
3.Kosuke Ono :
On the Vlasov--Poisson--Fokker--Planck equation,
PDE SEMINAR, Brown University, USA, USA, Sep. 1999.
4.Kosuke Ono :
Asymptotic stability of solutions of dissipative nonlinear wave equations with large data,
Eighth International Colloquium on Differential Equations, Bulgaria, Aug. 1997.
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.
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.

Proceeding of Domestic Conference:

1.Kosuke Ono :
Global solvability for the semilinear dissipative wave equations in four and five dimensions,
2.Kosuke Ono :
Global existence and asymptotic behavior of small solutions for semilinear dissipative wave equations,
日本数学会年会,
3.Kosuke Ono :
On L1 decay problem for the dissipative wave equation,
日本数学会年会,
4.Shin-ichi Katayama, Kosuke Ono, Ayaka Sumi, Akira Kondoh and Kohei Matsuzawa :
海野十三と暗号,虫食い算,
海野十三忌2016, May 2016.
5.Shin-ichi Katayama, Kosuke Ono, Ayaka Sumi, Akira Kondoh and Kohei Matsuzawa :
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, Nov. 2015.
6.Kosuke Ono :
Global solvability and decay estimates for mildly degenerate dissipative wave equations of Kirchhoff type,
2014日本数学会年会, Mar. 2014.
7.Kosuke Ono :
On asymptotic behaviour for nondegenerate Kirchhoff type dissipative wave equations,
日本数学会中国四国支部例会, Jan. 2014.
8.Kosuke Ono :
On decay estimates for some degenerate nonlinear Kirchhoff strings with dissipation,
日本数学会中国四国支部例会, Jan. 2013.
9.Kosuke Ono :
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, Jan. 2012.
10.Kosuke Ono :
Global solvability and decay estimates for mildly degenerate dissipative wave equations of Kirchhoff type,
日本数学会年会, Mar. 2011.
11.Tetsuya Toyoda, Motohiro Ishida, Kosuke Ono, Hidekazu Kakei, Takanori Satoh, Mitsuhiro Sato, Tohru Naito, Ken-ichi Nishiyama, Kouichi Murakami, Ko-ichi Magishi, Takuya YABE, teppei yukizane, Takuji Kawano, Hiroshi Yoshida and Sayaka Tanaka :
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, Jan. 2011.
12.Kosuke Ono :
外部領域における dissipative wave equation の解の L^1 評価について,
Nov. 2006.
13.Kosuke Ono :
On L^1 estimates for dissipative wave equations in exterior domains,
Sep. 2005.
14.Kosuke Ono :
Regularity and decay problems for the dissipative wave equation with a critical nonlinearity,
日本数学会年会, Mar. 2002.
15.Kosuke Ono :
Regularity and decay problems for the dissipative wave equation with a critical nonlinearity,
日本数学会年会, Mar. 2002.
16.Kosuke Ono :
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, Dec. 2001.
17.Kosuke Ono :
Global existence of regular solutions for the Vlasov--Poisson--Fokker--Planck system,
日本数学会年会, Mar. 2001.
18.Kosuke Ono :
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, Jan. 2001.
19.Kosuke Ono :
Decay property for Vlasov-type kinetic equations,
第26回発展方程式研究会, Dec. 2000.
20.Kosuke Ono :
Asymptotic behavior for the VPFP system with small data,
2000年度日本数学会春期総合分科会, Sep. 2000.
21.Kosuke Ono :
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, Sep. 2000.
22.Kosuke Ono :
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, Jul. 1998.

Et cetera, Workshop:

1.Kosuke Ono :
Asymptotic Behavior for the Vlasov--Poisson--Fokker--Planck System,
関数方程式セミナ-, Jan. 2000.
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.

Grants-in-Aid for Scientific Research (KAKEN Grants Database @ NII.ac.jp)

  • Analysis of the solution structure of non-linear partial differential equations corresponding to the wave phenomena and plasma phenomena (Project/Area Number: 21540186 )
  • Analysis of nonlinear partial differential equation of wave phenomenon or plasma phenomenon (Project/Area Number: 17540162 )
  • 波動現象とプラズマ現象の偏微分方程式による解析 (Project/Area Number: 14740103 )
  • 偏微分方程式のプラズマ現象と波動現象への応用 (Project/Area Number: 12740092 )
  • 非線形波動方程式とその波動現象への応用に関する研究 (Project/Area Number: 10740070 )
  • THE MATHEMATICAL ANALYSIS TO NON-LINEAR PHENOMENA THROUGH NON-LINEAR PARTIAL DIFFERENTIAL EQUATIONS (Project/Area Number: 09640276 )
  • 摩擦項を持つ非線形波動方程式の研究 (Project/Area Number: 08740108 )
  • 非線形現象に対する微分及び関数方程式による研究 (Project/Area Number: 08640289 )
  • 非線形波動方程式の解の研究 (Project/Area Number: 07740112 )
  • 非線型微分方程式と数理物理学の研究 (Project/Area Number: 06640244 )
  • Search by Researcher Number (00263806)