## Hirosawa, Fumihiko

Compute Distance To:
 Author ID: hirosawa.fumihiko Published as: Hirosawa, Fumihiko; Hirosawa, F.; Hirosawa, Fumihiki more...less External Links: MGP
 Documents Indexed: 35 Publications since 1997 1 Contribution as Editor Reviewing Activity: 15 Reviews Co-Authors: 13 Co-Authors with 18 Joint Publications 103 Co-Co-Authors
all top 5

### Co-Authors

 18 single-authored 6 Reissig, Michael 3 Cicognani, Massimo 2 Ebert, Marcelo Rempel 2 Fitriana, Laila 2 Wirth, Jens 1 Böhme, Christiane 1 Bui, Tang Bao Ngoc 1 Del Santo, Daniele 1 do Nascimento, Wanderley Nunes 1 Inooka, Takuhiro 1 Ishida, Haruhisa 1 Nakazawa, Hideo 1 Pham, Trieu Duong
all top 5

### Serials

 5 Journal of Mathematical Analysis and Applications 4 Journal of Differential Equations 2 Mathematische Nachrichten 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Osaka Journal of Mathematics 2 Tsukuba Journal of Mathematics 1 Mathematical Methods in the Applied Sciences 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Funkcialaj Ekvacioj. Serio Internacia 1 Journal of the Mathematical Society of Japan 1 Mathematische Annalen 1 Mathematica Scandinavica 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Annals of Global Analysis and Geometry 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche

### Fields

 36 Partial differential equations (35-XX) 1 General and overarching topics; collections (00-XX) 1 Difference and functional equations (39-XX) 1 Mechanics of deformable solids (74-XX)

### Citations contained in zbMATH Open

29 Publications have been cited 191 times in 98 Documents Cited by Year
On the asymptotic behavior of the energy for the wave equations with time depending coefficients. Zbl 1132.35054
Hirosawa, Fumihiko
2007
Generalised energy conservation law for wave equations with variable propagation speed. Zbl 1173.35572
Hirosawa, Fumihiko; Wirth, Jens
2009
Global solvability for Kirchhoff equation in special classes of non-analytic functions. Zbl 1108.35120
Hirosawa, Fumihiko
2006
About the optimality of oscillations in non-Lipschitz coefficiebts for strictly hyperbolic equations. Zbl 1170.35471
Reissig, M.; Hirosawa, Fumihiko
2004
On the Cauchy problem for second order strictly hyperbolic equations with non-regular coefficients. Zbl 1026.35063
Hirosawa, Fumihiko
2003
Loss of regularity for the solutions to hyperbolic equations with non-regular coefficients - an application to Kirchhoff equation. Zbl 1032.35120
Hirosawa, Fumihiko
2003
$$C^m$$-theory of damped wave equations with stabilisation. Zbl 1148.35043
Hirosawa, Fumihiko; Wirth, Jens
2008
Loss of regularity for second order hyperbolic equations with singular coefficients. Zbl 1098.35115
Hirosawa, Fumihiki
2005
Loss of regularity for $$p$$-evolution type models. Zbl 1154.35065
Cicognani, Massimo; Hirosawa, Fumihiko; Reissig, Michael
2008
Well-posedness in Sobolev spaces for second-order strictly hyperbolic equations with nondifferentiable oscillating coefficients. Zbl 1047.35079
Hirosawa, Fumihiko; Reissig, Michael
2004
From wave to Klein-Gordon type decay rates. Zbl 1052.35110
Hirosawa, Fumihiko; Reissig, Michael
2003
The Log-effect for $$p$$-evolution type models. Zbl 1170.35057
Cicognani, Massimo; Hirosawa, Fumihiko; Reissig, Michael
2008
Global solvability for the degenerate Kirchhoff equation. Zbl 0914.35085
Hirosawa, Fumihiko
1998
On the Gevrey well-posedness for second order strictly hyperbolic Cauchy problems under the influence of the regularity of the coefficients. Zbl 1173.35577
Cicognani, Massimo; Hirosawa, Fumihiko
2008
Energy estimates for wave equations with time dependent propagation speeds in the Gevrey class. Zbl 1198.35032
Hirosawa, Fumihiko
2010
Levi condition for hyperbolic equations with oscillating coefficients. Zbl 1098.35095
Hirosawa, Fumihiko; Reissig, Michael
2006
On the energy estimates of the wave equation with time dependent propagation speed asymptotically monotone functions. Zbl 1330.35050
Ebert, Marcelo Rempel; Fitriana, Laila; Hirosawa, Fumihiko
2015
Rapid decay of the total energy for dissipative wave equations. Zbl 1063.35101
Hirosawa, Fumihiko; Nakazawa, Hideo
2003
Degenerate Kirchhoff equation in ultradifferentiable class. Zbl 0992.35054
Hirosawa, Fumihiko
2002
Generalized energy conservation for Klein-Gordon type equations. Zbl 1250.35133
Böhme, Christiane; Hirosawa, Fumihiko
2012
Global solvability for the generalized degenerate Kirchhoff equation with real-analytic data in $$\mathbb{R}^n$$. Zbl 0896.35073
Hirosawa, Fumihiko
1997
On second order weakly hyperbolic equations with oscillating coefficients and regularity loss of the solutions. Zbl 1231.35111
Hirosawa, Fumihiko
2010
Energy estimates for the Cauchy problem of Klein-Gordon-type equations with non-effective and very fast oscillating time-dependent potential. Zbl 1395.35131
Hirosawa, Fumihiko; do Nascimento, Wanderley Nunes
2018
Energy decay for a degenerate hyperbolic equation with a dissipative term. Zbl 0955.35049
Hirosawa, Fumihiko
1999
On second order weakly hyperbolic equations and the ultradifferentiable classes. Zbl 1288.35328
Hirosawa, Fumihiko; Ishida, Haruhisa
2013
A class of non-analytic functions for the global solvability of Kirchhoff equation. Zbl 1311.35163
Hirosawa, Fumihiko
2015
Energy estimates of wave equations with variable propagation speed in bounded domain. Zbl 1234.35049
Hirosawa, Fumihiko
2010
On the global solvability for semilinear wave equations with smooth time dependent propagation speeds. Zbl 1280.35078
Hirosawa, Fumihiko; Inooka, Takuhiro; Pham, Trieu Duong
2013
On energy estimates for second order hyperbolic equations with Levi conditions for higher order regularity. Zbl 1253.35025
Hirosawa, Fumihiko; Bui, Tang Bao Ngoc
2011
Energy estimates for the Cauchy problem of Klein-Gordon-type equations with non-effective and very fast oscillating time-dependent potential. Zbl 1395.35131
Hirosawa, Fumihiko; do Nascimento, Wanderley Nunes
2018
On the energy estimates of the wave equation with time dependent propagation speed asymptotically monotone functions. Zbl 1330.35050
Ebert, Marcelo Rempel; Fitriana, Laila; Hirosawa, Fumihiko
2015
A class of non-analytic functions for the global solvability of Kirchhoff equation. Zbl 1311.35163
Hirosawa, Fumihiko
2015
On second order weakly hyperbolic equations and the ultradifferentiable classes. Zbl 1288.35328
Hirosawa, Fumihiko; Ishida, Haruhisa
2013
On the global solvability for semilinear wave equations with smooth time dependent propagation speeds. Zbl 1280.35078
Hirosawa, Fumihiko; Inooka, Takuhiro; Pham, Trieu Duong
2013
Generalized energy conservation for Klein-Gordon type equations. Zbl 1250.35133
Böhme, Christiane; Hirosawa, Fumihiko
2012
On energy estimates for second order hyperbolic equations with Levi conditions for higher order regularity. Zbl 1253.35025
Hirosawa, Fumihiko; Bui, Tang Bao Ngoc
2011
Energy estimates for wave equations with time dependent propagation speeds in the Gevrey class. Zbl 1198.35032
Hirosawa, Fumihiko
2010
On second order weakly hyperbolic equations with oscillating coefficients and regularity loss of the solutions. Zbl 1231.35111
Hirosawa, Fumihiko
2010
Energy estimates of wave equations with variable propagation speed in bounded domain. Zbl 1234.35049
Hirosawa, Fumihiko
2010
Generalised energy conservation law for wave equations with variable propagation speed. Zbl 1173.35572
Hirosawa, Fumihiko; Wirth, Jens
2009
$$C^m$$-theory of damped wave equations with stabilisation. Zbl 1148.35043
Hirosawa, Fumihiko; Wirth, Jens
2008
Loss of regularity for $$p$$-evolution type models. Zbl 1154.35065
Cicognani, Massimo; Hirosawa, Fumihiko; Reissig, Michael
2008
The Log-effect for $$p$$-evolution type models. Zbl 1170.35057
Cicognani, Massimo; Hirosawa, Fumihiko; Reissig, Michael
2008
On the Gevrey well-posedness for second order strictly hyperbolic Cauchy problems under the influence of the regularity of the coefficients. Zbl 1173.35577
Cicognani, Massimo; Hirosawa, Fumihiko
2008
On the asymptotic behavior of the energy for the wave equations with time depending coefficients. Zbl 1132.35054
Hirosawa, Fumihiko
2007
Global solvability for Kirchhoff equation in special classes of non-analytic functions. Zbl 1108.35120
Hirosawa, Fumihiko
2006
Levi condition for hyperbolic equations with oscillating coefficients. Zbl 1098.35095
Hirosawa, Fumihiko; Reissig, Michael
2006
Loss of regularity for second order hyperbolic equations with singular coefficients. Zbl 1098.35115
Hirosawa, Fumihiki
2005
About the optimality of oscillations in non-Lipschitz coefficiebts for strictly hyperbolic equations. Zbl 1170.35471
Reissig, M.; Hirosawa, Fumihiko
2004
Well-posedness in Sobolev spaces for second-order strictly hyperbolic equations with nondifferentiable oscillating coefficients. Zbl 1047.35079
Hirosawa, Fumihiko; Reissig, Michael
2004
On the Cauchy problem for second order strictly hyperbolic equations with non-regular coefficients. Zbl 1026.35063
Hirosawa, Fumihiko
2003
Loss of regularity for the solutions to hyperbolic equations with non-regular coefficients - an application to Kirchhoff equation. Zbl 1032.35120
Hirosawa, Fumihiko
2003
From wave to Klein-Gordon type decay rates. Zbl 1052.35110
Hirosawa, Fumihiko; Reissig, Michael
2003
Rapid decay of the total energy for dissipative wave equations. Zbl 1063.35101
Hirosawa, Fumihiko; Nakazawa, Hideo
2003
Degenerate Kirchhoff equation in ultradifferentiable class. Zbl 0992.35054
Hirosawa, Fumihiko
2002
Energy decay for a degenerate hyperbolic equation with a dissipative term. Zbl 0955.35049
Hirosawa, Fumihiko
1999
Global solvability for the degenerate Kirchhoff equation. Zbl 0914.35085
Hirosawa, Fumihiko
1998
Global solvability for the generalized degenerate Kirchhoff equation with real-analytic data in $$\mathbb{R}^n$$. Zbl 0896.35073
Hirosawa, Fumihiko
1997
all top 5

### Cited by 77 Authors

 20 Hirosawa, Fumihiko 18 Reissig, Michael 8 Wirth, Jens 7 Ghisi, Marina 7 Gobbino, Massimo 6 Cicognani, Massimo 6 Lu, Xiaojun 5 Ascanelli, Alessia 5 Ebert, Marcelo Rempel 5 Ruzhansky, Michael V. 4 D’Abbicco, Marcello 4 Manfrin, Renato 4 Yagdjian, Karen 3 Aliev, Akbar B. 3 Böhme, Christiane 3 Boiti, Chiara 3 Matsuyama, Tokio 3 Takeda, Hiroshi 2 Aslan, Halit Sevki 2 Bachelot, Alain 2 Galstian, Anahit 2 Kiran, N. Uday 2 Pattar, Rahul Raju 2 Tu, Ziheng 1 Agliardi, Rossella 1 Benaissa, Abbes 1 Bui, Tang Bao Ngoc 1 Cappiello, Marco 1 Caraballo Garrido, Tomás 1 Chaudhary, Sudhakar 1 Chen, Jianyi 1 Colombini, Ferruccio 1 da Luz, Cleverson Roberto 1 Dao, Tuan Anh 1 do Nascimento, Wanderley Nunes 1 Doi, Shin-ichi 1 Fang, Daoyuan 1 Ferreira, José Augusto 1 Fitriana, Laila 1 Gadirova, Gunay R. 1 Girardi, Giovanni 1 Gu, Guangze 1 Guesmia, Aissa 1 Inui, Takahisa 1 Ishida, Haruhisa 1 Jachmann, Kay 1 Kinoshita, Tamotu 1 Kubo, Akisato 1 Langa, Jose’ Antonio 1 Liu, Jia-bao 1 Liu, Xiaoxing 1 Liu, Zhenjie 1 Lorenz, Daniel 1 Luna-Rivera, Nathalie M. 1 Mizutani, Haruya 1 Nishitani, Tatsuo 1 Nolasco de Carvalho, Alexandre 1 Oliveira, Paula 1 Pena, Gonçalo 1 Rivero, Felipe 1 Shukurova, Gulnara D. 1 Shukyurova, G. D. 1 Srivastava, Vimal 1 Sun, Yimin 1 Taranto, Chiara Alba 1 Ueda, Hideo 1 Vargas, Edson Cilos jun. 1 Wakasugi, Yuta 1 Wang, Guodong 1 Wu, Yanhua 1 Xiu, Zonghu 1 Yamazaki, Taeko 1 Yoshikawa, Shuji 1 Zanghirati, Luisa 1 Zhang, Kangqun 1 Zhang, Zhitao 1 Zhao, Lin
all top 5

### Cited in 40 Serials

 22 Journal of Differential Equations 14 Journal of Mathematical Analysis and Applications 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 3 Mathematical Methods in the Applied Sciences 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Journal of Evolution Equations 2 Applicable Analysis 2 Journal d’Analyse Mathématique 2 Osaka Journal of Mathematics 2 Asymptotic Analysis 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Journal of Hyperbolic Differential Equations 1 Communications in Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Advances in Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Hokkaido Mathematical Journal 1 Journal of Computational and Applied Mathematics 1 Journal of the Mathematical Society of Japan 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Proceedings of the American Mathematical Society 1 Acta Applicandae Mathematicae 1 The Journal of Geometric Analysis 1 Communications in Partial Differential Equations 1 Calculus of Variations and Partial Differential Equations 1 NoDEA. Nonlinear Differential Equations and Applications 1 Bulletin des Sciences Mathématiques 1 Abstract and Applied Analysis 1 Revista Matemática Complutense 1 Differential Equations 1 Portugaliae Mathematica. Nova Série 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Proceedings of Institute of Mathematics and Mechanics. National Academy of Sciences of Azerbaijan 1 Communications on Pure and Applied Analysis 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Boundary Value Problems 1 Journal of Pseudo-Differential Operators and Applications 1 Advances in Nonlinear Analysis
all top 5

### Cited in 15 Fields

 97 Partial differential equations (35-XX) 5 Mechanics of deformable solids (74-XX) 3 Operator theory (47-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Numerical analysis (65-XX) 3 Quantum theory (81-XX) 3 Relativity and gravitational theory (83-XX) 2 Ordinary differential equations (34-XX) 2 Integral equations (45-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX)