Edit Profile (opens in new tab) Hirosawa, Fumihiko Compute Distance To: Compute 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) Publications by Year all cited Publications top 5 cited Publications 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 1132.35054Hirosawa, Fumihiko 20 2007 Generalised energy conservation law for wave equations with variable propagation speed. Zbl 1173.35572Hirosawa, Fumihiko; Wirth, Jens 19 2009 Global solvability for Kirchhoff equation in special classes of non-analytic functions. Zbl 1108.35120Hirosawa, Fumihiko 17 2006 About the optimality of oscillations in non-Lipschitz coefficiebts for strictly hyperbolic equations. Zbl 1170.35471Reissig, M.; Hirosawa, Fumihiko 11 2004 On the Cauchy problem for second order strictly hyperbolic equations with non-regular coefficients. Zbl 1026.35063Hirosawa, Fumihiko 11 2003 Loss of regularity for the solutions to hyperbolic equations with non-regular coefficients - an application to Kirchhoff equation. Zbl 1032.35120Hirosawa, Fumihiko 11 2003 \(C^m\)-theory of damped wave equations with stabilisation. Zbl 1148.35043Hirosawa, Fumihiko; Wirth, Jens 10 2008 Loss of regularity for second order hyperbolic equations with singular coefficients. Zbl 1098.35115Hirosawa, Fumihiki 9 2005 Loss of regularity for \(p\)-evolution type models. Zbl 1154.35065Cicognani, Massimo; Hirosawa, Fumihiko; Reissig, Michael 9 2008 Well-posedness in Sobolev spaces for second-order strictly hyperbolic equations with nondifferentiable oscillating coefficients. Zbl 1047.35079Hirosawa, Fumihiko; Reissig, Michael 8 2004 From wave to Klein-Gordon type decay rates. Zbl 1052.35110Hirosawa, Fumihiko; Reissig, Michael 7 2003 The Log-effect for \(p\)-evolution type models. Zbl 1170.35057Cicognani, Massimo; Hirosawa, Fumihiko; Reissig, Michael 7 2008 Global solvability for the degenerate Kirchhoff equation. Zbl 0914.35085Hirosawa, Fumihiko 7 1998 On the Gevrey well-posedness for second order strictly hyperbolic Cauchy problems under the influence of the regularity of the coefficients. Zbl 1173.35577Cicognani, Massimo; Hirosawa, Fumihiko 6 2008 Energy estimates for wave equations with time dependent propagation speeds in the Gevrey class. Zbl 1198.35032Hirosawa, Fumihiko 6 2010 Levi condition for hyperbolic equations with oscillating coefficients. Zbl 1098.35095Hirosawa, Fumihiko; Reissig, Michael 5 2006 On the energy estimates of the wave equation with time dependent propagation speed asymptotically monotone functions. Zbl 1330.35050Ebert, Marcelo Rempel; Fitriana, Laila; Hirosawa, Fumihiko 5 2015 Rapid decay of the total energy for dissipative wave equations. Zbl 1063.35101Hirosawa, Fumihiko; Nakazawa, Hideo 3 2003 Degenerate Kirchhoff equation in ultradifferentiable class. Zbl 0992.35054Hirosawa, Fumihiko 3 2002 Generalized energy conservation for Klein-Gordon type equations. Zbl 1250.35133Böhme, Christiane; Hirosawa, Fumihiko 3 2012 Global solvability for the generalized degenerate Kirchhoff equation with real-analytic data in \(\mathbb{R}^n\). Zbl 0896.35073Hirosawa, Fumihiko 2 1997 On second order weakly hyperbolic equations with oscillating coefficients and regularity loss of the solutions. Zbl 1231.35111Hirosawa, Fumihiko 2 2010 Energy estimates for the Cauchy problem of Klein-Gordon-type equations with non-effective and very fast oscillating time-dependent potential. Zbl 1395.35131Hirosawa, Fumihiko; do Nascimento, Wanderley Nunes 2 2018 Energy decay for a degenerate hyperbolic equation with a dissipative term. Zbl 0955.35049Hirosawa, Fumihiko 2 1999 On second order weakly hyperbolic equations and the ultradifferentiable classes. Zbl 1288.35328Hirosawa, Fumihiko; Ishida, Haruhisa 2 2013 A class of non-analytic functions for the global solvability of Kirchhoff equation. Zbl 1311.35163Hirosawa, Fumihiko 1 2015 Energy estimates of wave equations with variable propagation speed in bounded domain. Zbl 1234.35049Hirosawa, Fumihiko 1 2010 On the global solvability for semilinear wave equations with smooth time dependent propagation speeds. Zbl 1280.35078Hirosawa, Fumihiko; Inooka, Takuhiro; Pham, Trieu Duong 1 2013 On energy estimates for second order hyperbolic equations with Levi conditions for higher order regularity. Zbl 1253.35025Hirosawa, Fumihiko; Bui, Tang Bao Ngoc 1 2011 Energy estimates for the Cauchy problem of Klein-Gordon-type equations with non-effective and very fast oscillating time-dependent potential. Zbl 1395.35131Hirosawa, Fumihiko; do Nascimento, Wanderley Nunes 2 2018 On the energy estimates of the wave equation with time dependent propagation speed asymptotically monotone functions. Zbl 1330.35050Ebert, Marcelo Rempel; Fitriana, Laila; Hirosawa, Fumihiko 5 2015 A class of non-analytic functions for the global solvability of Kirchhoff equation. Zbl 1311.35163Hirosawa, Fumihiko 1 2015 On second order weakly hyperbolic equations and the ultradifferentiable classes. Zbl 1288.35328Hirosawa, Fumihiko; Ishida, Haruhisa 2 2013 On the global solvability for semilinear wave equations with smooth time dependent propagation speeds. Zbl 1280.35078Hirosawa, Fumihiko; Inooka, Takuhiro; Pham, Trieu Duong 1 2013 Generalized energy conservation for Klein-Gordon type equations. Zbl 1250.35133Böhme, Christiane; Hirosawa, Fumihiko 3 2012 On energy estimates for second order hyperbolic equations with Levi conditions for higher order regularity. Zbl 1253.35025Hirosawa, Fumihiko; Bui, Tang Bao Ngoc 1 2011 Energy estimates for wave equations with time dependent propagation speeds in the Gevrey class. Zbl 1198.35032Hirosawa, Fumihiko 6 2010 On second order weakly hyperbolic equations with oscillating coefficients and regularity loss of the solutions. Zbl 1231.35111Hirosawa, Fumihiko 2 2010 Energy estimates of wave equations with variable propagation speed in bounded domain. Zbl 1234.35049Hirosawa, Fumihiko 1 2010 Generalised energy conservation law for wave equations with variable propagation speed. Zbl 1173.35572Hirosawa, Fumihiko; Wirth, Jens 19 2009 \(C^m\)-theory of damped wave equations with stabilisation. Zbl 1148.35043Hirosawa, Fumihiko; Wirth, Jens 10 2008 Loss of regularity for \(p\)-evolution type models. Zbl 1154.35065Cicognani, Massimo; Hirosawa, Fumihiko; Reissig, Michael 9 2008 The Log-effect for \(p\)-evolution type models. Zbl 1170.35057Cicognani, Massimo; Hirosawa, Fumihiko; Reissig, Michael 7 2008 On the Gevrey well-posedness for second order strictly hyperbolic Cauchy problems under the influence of the regularity of the coefficients. Zbl 1173.35577Cicognani, Massimo; Hirosawa, Fumihiko 6 2008 On the asymptotic behavior of the energy for the wave equations with time depending coefficients. Zbl 1132.35054Hirosawa, Fumihiko 20 2007 Global solvability for Kirchhoff equation in special classes of non-analytic functions. Zbl 1108.35120Hirosawa, Fumihiko 17 2006 Levi condition for hyperbolic equations with oscillating coefficients. Zbl 1098.35095Hirosawa, Fumihiko; Reissig, Michael 5 2006 Loss of regularity for second order hyperbolic equations with singular coefficients. Zbl 1098.35115Hirosawa, Fumihiki 9 2005 About the optimality of oscillations in non-Lipschitz coefficiebts for strictly hyperbolic equations. Zbl 1170.35471Reissig, M.; Hirosawa, Fumihiko 11 2004 Well-posedness in Sobolev spaces for second-order strictly hyperbolic equations with nondifferentiable oscillating coefficients. Zbl 1047.35079Hirosawa, Fumihiko; Reissig, Michael 8 2004 On the Cauchy problem for second order strictly hyperbolic equations with non-regular coefficients. Zbl 1026.35063Hirosawa, Fumihiko 11 2003 Loss of regularity for the solutions to hyperbolic equations with non-regular coefficients - an application to Kirchhoff equation. Zbl 1032.35120Hirosawa, Fumihiko 11 2003 From wave to Klein-Gordon type decay rates. Zbl 1052.35110Hirosawa, Fumihiko; Reissig, Michael 7 2003 Rapid decay of the total energy for dissipative wave equations. Zbl 1063.35101Hirosawa, Fumihiko; Nakazawa, Hideo 3 2003 Degenerate Kirchhoff equation in ultradifferentiable class. Zbl 0992.35054Hirosawa, Fumihiko 3 2002 Energy decay for a degenerate hyperbolic equation with a dissipative term. Zbl 0955.35049Hirosawa, Fumihiko 2 1999 Global solvability for the degenerate Kirchhoff equation. Zbl 0914.35085Hirosawa, Fumihiko 7 1998 Global solvability for the generalized degenerate Kirchhoff equation with real-analytic data in \(\mathbb{R}^n\). Zbl 0896.35073Hirosawa, Fumihiko 2 1997 all cited Publications top 5 cited Publications 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) Citations by Year