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## Ono, Kosuke

Compute Distance To:
 Author ID: ono.kosuke Published as: Ono, Kosuke; Ono, K.
 Documents Indexed: 60 Publications since 1993

#### Co-Authors

 53 single-authored 3 Nakao, Mitsuhiro 2 Nishihara, Kenji 1 Hasunuma, Toru 1 Kawashima, Shuichi 1 Strauss, Walter Alexander
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#### Serials

 7 Journal of Mathematics. The University of Tokushima 6 Journal of Mathematical Analysis and Applications 6 Journal of Mathematics. Tokushima University 5 Mathematical Methods in the Applied Sciences 5 Funkcialaj Ekvacioj. Serio Internacia 5 Journal of Mathematics. Tokushima University 4 Advances in Mathematical Sciences and Applications 3 International Journal of Applied Mathematics 2 Mathematica Japonica 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Asymptotic Analysis 2 Kyushu Journal of Mathematics 2 Discrete and Continuous Dynamical Systems 2 Scientiae Mathematicae Japonicae 1 Applicable Analysis 1 Journal of Differential Equations 1 Journal of Graph Theory 1 Journal of the Mathematical Society of Japan 1 Mathematische Zeitschrift 1 Communications in Applied Analysis 1 Nonlinear Analysis. Theory, Methods & Applications
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#### Fields

 56 Partial differential equations (35-XX) 8 Mechanics of deformable solids (74-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Fluid mechanics (76-XX) 2 Integral equations (45-XX) 1 Combinatorics (05-XX) 1 Ordinary differential equations (34-XX)

#### Citations contained in zbMATH Open

34 Publications have been cited 555 times in 330 Documents Cited by Year
Global existence, decay, and blowup of solutions for some mildly degenerate nonlinear Kirchhoff strings. Zbl 0879.35110
Ono, Kosuke
1997
Existence of global solutions to the Cauchy problem for the semilinear dissipative wave equations. Zbl 0790.35072
Nakao, Mitsuhiro; Ono, Kosuke
1993
On global existence, asymptotic stability and blowing up of solutions for some degenerate nonlinear wave equations of Kirchhoff type with a strong dissipation. Zbl 0878.35081
Ono, Kosuke
1997
On the decay property of solutions to the Cauchy problem of the semilinear wave equation with a dissipative term. Zbl 0852.35099
Kawashima, Shuichi; Nakao, Mitsuhiro; Ono, Kosuke
1995
On global solutions and blow-up solutions of nonlinear Kirchhoff strings with nonlinear dissipation. Zbl 0893.35078
Ono, Kosuke
1997
Global existence and asymptotic behavior of small solutions for semilinear dissipative wave equations. Zbl 1029.35180
Ono, Kosuke
2003
Global existence to the Cauchy problem of the semilinear wave equation with a nonlinear dissipation. Zbl 0855.35081
Nakao, Mitsuhiro; Ono, Kosuke
1995
Decay estimates for dissipative wave equations in exterior domains. Zbl 1032.35123
Ono, Kosuke
2003
Blowing up and global existence of solutions for some degenerate nonlinear wave equations with some dissipation. Zbl 0892.35108
Ono, Kosuke
1997
Regular solutions of the Vlasov-Poisson-Fokker-Planck system. Zbl 1034.82058
Ono, Kosuke; Strauss, Walter A.
2000
Global existence, asymptotic behaviour, and global non-existence of solutions for damped nonlinear wave equations of Kirchhoff type in the whole space. Zbl 0953.35099
Ono, Kosuke
2000
Global solvability and $$L^p$$ decay for the semilinear dissipative wave equations in four and five dimensions. Zbl 1112.35125
Ono, Kosuke
2006
Global existence and decay properties of solutions for some mildly degenerate nonlinear dissipative Kirchhoff strings. Zbl 0891.35100
Ono, Kosuke
1997
Global solvability for degenerate Kirchhoff equations with weak dissipation. Zbl 0939.35128
Ono, Kosuke
1999
$$L^p$$ decay problem for the dissipative wave equation in even dimensions. Zbl 1058.35040
Ono, Kosuke
2004
Asymptotic behaviors of solutions of some nonlinear oscillation equations with strong damping. Zbl 0819.34042
Nishihara, Kenji; Ono, Kosuke
1994
$$L^p$$ decay problem for the dissipative wave equation in odd dimensions. Zbl 1077.35075
Ono, Kosuke
2005
On a nonlinear degenerate integro-differential equation of hyperbolic type with a strong dissipation. Zbl 0842.45005
Ono, Kosuke; Nishihara, Kenji
1995
On the global existence and decay of solutions for semilinear telegraph equations. Zbl 1172.35441
Ono, Kosuke
2000
The time decay to the Cauchy problem for semilinear dissipative wave equations. Zbl 0927.35068
Ono, Kosuke
1999
Global existence of regular solutions for the Vlasov-Poisson-Fokker-Planck system. Zbl 1040.82058
Ono, Kosuke
2001
On decay properties of solutions for degenerate strongly damped wave equations of Kirchhoff type. Zbl 1222.35035
Ono, Kosuke
2011
On $$L^{1}$$ decay problem for the dissipative wave equation. Zbl 1030.35110
Ono, Kosuke
2003
On global existence and asymptotic stability of solutions of mildly degenerate dissipative nonlinear wave equations of Kirchhoff type. Zbl 0935.35103
Ono, Kosuke
1998
A stretched string equation with a boundary dissipation. Zbl 0823.35166
Ono, Kosuke
1994
Sharp decay estimates of solutions for mildly degenerate dissipative Kirchhoff equations. Zbl 0910.35024
Ono, Kosuke
1997
$$L^1$$ estimates for dissipative wave equations in exterior domains. Zbl 1130.35016
Ono, Kosuke
2007
Mildly degenerate Kirchhoff equations with damping in unbounded domain. Zbl 0894.35073
Ono, Kosuke
1997
Asymptotic behaviour of solutions for damped Kirchhoff equations in bounded domain. Zbl 0922.35020
Ono, K.
1999
Remark on blowing up phenomena for nonlinear Kirchhoff strings. Zbl 0893.35077
Ono, Kosuke
1997
Asymptotic behavior for degenerate nonlinear Kirchhoff type equations with damping. Zbl 1142.74330
Ono, Kosuke
2000
Blowup phenomena for nonlinear dissipative wave equations. Zbl 0923.35098
Ono, Kosuke
1996
Asymptotic behavior of solutions for semilinear telegraph equations. Zbl 0921.35025
Ono, Kosuke
1997
A note on degenerate Kirchhoff equations with nonlinear damping. Zbl 0921.35114
Ono, Kosuke
1997
On decay properties of solutions for degenerate strongly damped wave equations of Kirchhoff type. Zbl 1222.35035
Ono, Kosuke
2011
$$L^1$$ estimates for dissipative wave equations in exterior domains. Zbl 1130.35016
Ono, Kosuke
2007
Global solvability and $$L^p$$ decay for the semilinear dissipative wave equations in four and five dimensions. Zbl 1112.35125
Ono, Kosuke
2006
$$L^p$$ decay problem for the dissipative wave equation in odd dimensions. Zbl 1077.35075
Ono, Kosuke
2005
$$L^p$$ decay problem for the dissipative wave equation in even dimensions. Zbl 1058.35040
Ono, Kosuke
2004
Global existence and asymptotic behavior of small solutions for semilinear dissipative wave equations. Zbl 1029.35180
Ono, Kosuke
2003
Decay estimates for dissipative wave equations in exterior domains. Zbl 1032.35123
Ono, Kosuke
2003
On $$L^{1}$$ decay problem for the dissipative wave equation. Zbl 1030.35110
Ono, Kosuke
2003
Global existence of regular solutions for the Vlasov-Poisson-Fokker-Planck system. Zbl 1040.82058
Ono, Kosuke
2001
Regular solutions of the Vlasov-Poisson-Fokker-Planck system. Zbl 1034.82058
Ono, Kosuke; Strauss, Walter A.
2000
Global existence, asymptotic behaviour, and global non-existence of solutions for damped nonlinear wave equations of Kirchhoff type in the whole space. Zbl 0953.35099
Ono, Kosuke
2000
On the global existence and decay of solutions for semilinear telegraph equations. Zbl 1172.35441
Ono, Kosuke
2000
Asymptotic behavior for degenerate nonlinear Kirchhoff type equations with damping. Zbl 1142.74330
Ono, Kosuke
2000
Global solvability for degenerate Kirchhoff equations with weak dissipation. Zbl 0939.35128
Ono, Kosuke
1999
The time decay to the Cauchy problem for semilinear dissipative wave equations. Zbl 0927.35068
Ono, Kosuke
1999
Asymptotic behaviour of solutions for damped Kirchhoff equations in bounded domain. Zbl 0922.35020
Ono, K.
1999
On global existence and asymptotic stability of solutions of mildly degenerate dissipative nonlinear wave equations of Kirchhoff type. Zbl 0935.35103
Ono, Kosuke
1998
Global existence, decay, and blowup of solutions for some mildly degenerate nonlinear Kirchhoff strings. Zbl 0879.35110
Ono, Kosuke
1997
On global existence, asymptotic stability and blowing up of solutions for some degenerate nonlinear wave equations of Kirchhoff type with a strong dissipation. Zbl 0878.35081
Ono, Kosuke
1997
On global solutions and blow-up solutions of nonlinear Kirchhoff strings with nonlinear dissipation. Zbl 0893.35078
Ono, Kosuke
1997
Blowing up and global existence of solutions for some degenerate nonlinear wave equations with some dissipation. Zbl 0892.35108
Ono, Kosuke
1997
Global existence and decay properties of solutions for some mildly degenerate nonlinear dissipative Kirchhoff strings. Zbl 0891.35100
Ono, Kosuke
1997
Sharp decay estimates of solutions for mildly degenerate dissipative Kirchhoff equations. Zbl 0910.35024
Ono, Kosuke
1997
Mildly degenerate Kirchhoff equations with damping in unbounded domain. Zbl 0894.35073
Ono, Kosuke
1997
Remark on blowing up phenomena for nonlinear Kirchhoff strings. Zbl 0893.35077
Ono, Kosuke
1997
Asymptotic behavior of solutions for semilinear telegraph equations. Zbl 0921.35025
Ono, Kosuke
1997
A note on degenerate Kirchhoff equations with nonlinear damping. Zbl 0921.35114
Ono, Kosuke
1997
Blowup phenomena for nonlinear dissipative wave equations. Zbl 0923.35098
Ono, Kosuke
1996
On the decay property of solutions to the Cauchy problem of the semilinear wave equation with a dissipative term. Zbl 0852.35099
Kawashima, Shuichi; Nakao, Mitsuhiro; Ono, Kosuke
1995
Global existence to the Cauchy problem of the semilinear wave equation with a nonlinear dissipation. Zbl 0855.35081
Nakao, Mitsuhiro; Ono, Kosuke
1995
On a nonlinear degenerate integro-differential equation of hyperbolic type with a strong dissipation. Zbl 0842.45005
Ono, Kosuke; Nishihara, Kenji
1995
Asymptotic behaviors of solutions of some nonlinear oscillation equations with strong damping. Zbl 0819.34042
Nishihara, Kenji; Ono, Kosuke
1994
A stretched string equation with a boundary dissipation. Zbl 0823.35166
Ono, Kosuke
1994
Existence of global solutions to the Cauchy problem for the semilinear dissipative wave equations. Zbl 0790.35072
Nakao, Mitsuhiro; Ono, Kosuke
1993
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#### Cited by 356 Authors

 14 Yang, Zhijian 12 Nishihara, Kenji 12 Ono, Kosuke 10 Xu, Runzhang 9 Ghisi, Marina 8 Takeda, Hiroshi 7 Pucci, Patrizia 7 Todorova, Grozdena Hr. 7 Wakasugi, Yuta 6 Benaissa, Abbes 6 Gobbino, Massimo 6 Liu, Yacheng 6 Park, Jong Yeoul 6 Wang, Weike 6 Wang, Yuzhu 6 Wu, Shuntang 5 Ding, Pengyan 5 Hayashi, Nakao 5 Ikeda, Masahiro 5 Liu, Wenjun 5 Nakao, Mitsuhiro 5 Naumkin, Pavel Ivanovich 5 Papadopoulos, Perikles G. 5 Tatar, Nasser-eddine 4 Bae, Jeong Ja 4 Le Thi Phuong Ngoc 4 Li, Gang 4 Liu, Gongwei 4 Messaoudi, Salim A. 4 Nguyen Thanh Long 4 Ogawa, Takayoshi 4 Reissig, Michael 4 Said-Houari, Belkacem 4 Wang, Yinxia 4 Ye, Yaojun 3 Aliev, Akbar B. 3 Autuori, Giuseppina 3 Daoulatli, Moez 3 Fino, Ahmad Z. 3 Hong, Linghui 3 Hwang, Hyung Ju 3 Ikehata, Ryo 3 Jung, Il Hyo 3 Kaikina, Elena Igorevna 3 Ma, Honglv 3 Pokhozhaev, Stanislav I. 3 Racke, Reinhard 3 Wang, Mingxin 3 Yamazaki, Taeko 3 Yao, Pengfei 3 Yordanov, Borislav T. 3 Zennir, Khaled 3 Zhai, Jian 3 Zhao, Huijiang 3 Zhou, Jun 2 Achouri, Talha 2 Aloui, Lassaad 2 Amroun, Noureddine 2 Boulaaras, Salah Mahmoud 2 Boumaza, Nouri 2 Calogero, Simone 2 Cavalcanti, Marcelo Moreira 2 Chen, Yuxuan 2 Chill, Ralph 2 Colasuonno, Francesca 2 D’Abbicco, Marcello 2 Domingos Cavalcanti, Valéria Neves 2 Dzhokhadze, Otar Mikhajlovich 2 Ferhat, Mohamed 2 Gao, Hongjun 2 Gheraibia, Billel 2 Ha, Seung-Yeal 2 Ha, Tae Gab 2 Haraux, Alain 2 Inui, Takahisa 2 Jang, Juhi 2 Kalantarov, Varga K. 2 Kang, Jum-Ran 2 Kawashima, Shuichi 2 Kazimov, Anar A. 2 Li, Ke 2 Li, Yanan 2 Lin, Jiayun 2 Liu, Yang 2 Liu, Zhiming 2 López, José Luis 2 Mu, Chunlai 2 Nakamura, Makoto 2 Narazaki, Takashi 2 Nguyen Anh Triet 2 Noh, Se Eun 2 Pankavich, Stephen 2 Pei, Pei 2 Peyravi, Amir 2 Piṣkin, Erhan 2 Radu, Petronela 2 Runzhang, Xu 2 Stavrakakis, Nikolaos M. 2 Sun, Fuqin 2 Tahamtani, Faramarz ...and 256 more Authors
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#### Cited in 97 Serials

 53 Journal of Mathematical Analysis and Applications 41 Journal of Differential Equations 37 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 13 Boundary Value Problems 12 Applicable Analysis 10 Mathematical Methods in the Applied Sciences 8 Applied Mathematics Letters 8 Communications on Pure and Applied Analysis 7 Applied Mathematics and Computation 6 NoDEA. Nonlinear Differential Equations and Applications 6 Nonlinear Analysis. Real World Applications 5 Journal of Mathematical Physics 4 Acta Applicandae Mathematicae 4 Journal of Inequalities and Applications 4 Journal of Hyperbolic Differential Equations 3 Computers & Mathematics with Applications 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Quarterly of Applied Mathematics 3 Journal of Evolution Equations 2 Journal of Statistical Physics 2 Czechoslovak Mathematical Journal 2 Journal of the Mathematical Society of Japan 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Zeitschrift für Analysis und ihre Anwendungen 2 Applied Mathematics and Mechanics. (English Edition) 2 Chinese Annals of Mathematics. Series B 2 Acta Mathematicae Applicatae Sinica. English Series 2 Applications of Mathematics 2 Communications in Partial Differential Equations 2 SIAM Journal on Mathematical Analysis 2 Taiwanese Journal of Mathematics 2 Differential Equations 2 Journal of Applied Mathematics 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Mediterranean Journal of Mathematics 2 Advances in Mathematical Physics 2 Evolution Equations and Control Theory 2 Electronic Journal of Mathematical Analysis and Applications EJMAA 2 Journal of Function Spaces 2 Electronic Research Archive 1 Archive for Rational Mechanics and Analysis 1 Israel Journal of Mathematics 1 Lithuanian Mathematical Journal 1 Reviews in Mathematical Physics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Polonici Mathematici 1 Demonstratio Mathematica 1 Funkcialaj Ekvacioj. Serio Internacia 1 Journal of Functional Analysis 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Rendiconti del Seminario Matematico della Università di Padova 1 Siberian Mathematical Journal 1 Tokyo Journal of Mathematics 1 Systems & Control Letters 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Revista Matemática Iberoamericana 1 Numerical Methods for Partial Differential Equations 1 Mathematical and Computer Modelling 1 Asymptotic Analysis 1 Journal of Integral Equations and Applications 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 SIAM Journal on Applied Mathematics 1 Stochastic Processes and their Applications 1 Journal of Dynamics and Differential Equations 1 Advances in Engineering Software 1 Journal of Inverse and Ill-Posed Problems 1 Discrete and Continuous Dynamical Systems 1 Journal of Applied Analysis 1 Vietnam Journal of Mathematics 1 Abstract and Applied Analysis 1 Soft Computing 1 Communications in Contemporary Mathematics 1 Dynamical Systems 1 Journal of Systems Science and Complexity 1 Portugaliae Mathematica. Nova Série 1 Journal of Applied Mathematics and Computing 1 Analysis and Applications (Singapore) 1 Journal of Function Spaces and Applications 1 Complex Variables and Elliptic Equations 1 Differential Equations & Nonlinear Mechanics 1 Proceedings of the Steklov Institute of Mathematics 1 Applications and Applied Mathematics 1 Discrete and Continuous Dynamical Systems. Series S 1 Kinetic and Related Models 1 Science China. Mathematics 1 Symmetry 1 Eurasian Mathematical Journal 1 Arabian Journal of Mathematics 1 Journal of Applied Analysis and Computation 1 Advances in Nonlinear Analysis 1 Nonlinear Analysis. Theory, Methods & Applications 1 Open Mathematics
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#### Cited in 24 Fields

 321 Partial differential equations (35-XX) 34 Mechanics of deformable solids (74-XX) 14 Statistical mechanics, structure of matter (82-XX) 11 Dynamical systems and ergodic theory (37-XX) 11 Systems theory; control (93-XX) 10 Operator theory (47-XX) 9 Integral equations (45-XX) 9 Numerical analysis (65-XX) 9 Fluid mechanics (76-XX) 8 Ordinary differential equations (34-XX) 4 Probability theory and stochastic processes (60-XX) 3 Functional analysis (46-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Real functions (26-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Mechanics of particles and systems (70-XX) 2 Optics, electromagnetic theory (78-XX) 1 General and overarching topics; collections (00-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX)