Soichiro Katayama

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All published works

Action	Title	Year	Authors
+	Decay property for nonlinear damped wave equations in one space dimension	2024	Soichiro Katayama Kyouhei Wakasa Borislav Yordanov
+	The null condition for systems of nonlinear wave equations and its related topics	2024	Soichiro Katayama
+	Remarks on weaker null conditions for two kinds of systems of semilinear wave equations in three space dimensions	2024	Minggang Cheng Soichiro Katayama
+ PDF Chat	Systems of semilinear wave equations with multiple speeds in two space dimensions and a weaker null condition	2022	Minggang Cheng Soichiro Katayama
+	Global existence and the asymptotic behavior for systems of nonlinear wave equations violating the null condition	2020	Soichiro Katayama
+ PDF Chat	Asymptotic behavior for a class of derivative nonlinear Schrödinger systems	2020	Soichiro Katayama Daisuke Sakoda
+	Remarks on the asymptotic behavior of global solutions to systems of semilinear wave equations	2019	Soichiro Katayama
+	Global Existence for a Class of System of Nonlinear Wave and Klein-Gordon Equations (Harmonic Analysis and Nonlinear Partial Differential Equations)	2018	Soichiro Katayama
+ PDF Chat	Global existence for systems of nonlinear wave and klein-gordon equations with compactly supported initial data	2018	Soichiro Katayama
+	Appendix C. The proof of Theorem 11.6	2017	Soichiro Katayama Soichiro Katayama
+	Appendix A. The Riemann integral in Banach spaces	2017	Soichiro Katayama Soichiro Katayama
+	Appendix B. Distribution-valued functions	2017	Soichiro Katayama Soichiro Katayama
+ PDF Chat	Energy decay for systems of semilinear wave equations with dissipative structure in two space dimensions	2014	Soichiro Katayama Akitaka Matsumura Hideaki Sunagawa
+ PDF Chat	Semilinear hyperbolic systems violating the null condition	2014	Soichiro Katayama Toshiaki Matoba Hideaki Sunagawa
+ PDF Chat	A remark on decay rates of solutions for a system of quadratic nonlinear Schrödinger equations in 2D	2014	Soichiro Katayama Chunhua Li Hideaki Sunagawa
+ PDF Chat	Null Structure in a System of Quadratic Derivative Nonlinear Schrödinger Equations	2014	Masahiro Ikeda Soichiro Katayama Hideaki Sunagawa
+	Global Existence for Quadratically Perturbed Massless Dirac Equations Under the Null Condition	2013	Soichiro Katayama Hideo Kubo
+	Asymptotic Behavior for Systems of Nonlinear Wave Equations with Multiple Speeds in 3D (Geometric Aspect of Partial Differential Equations and Conservation Laws)	2013	Soichiro Katayama
+ PDF Chat	LOWER BOUND OF THE LIFESPAN OF SOLUTIONS TO SEMILINEAR WAVE EQUATIONS IN AN EXTERIOR DOMAIN	2013	Soichiro Katayama Hideo Kubo
+	Asymptotic behavior for systems of nonlinear wave equations with multiple propagation speeds in three space dimensions	2013	Soichiro Katayama
+	A remark on decay rates of solutions for a system of quadratic nonlinear Schrödinger equations in 2D	2013	Soichiro Katayama Chunhua Li Hideaki Sunagawa
+ PDF Chat	Almost global existence for exterior Neumann problems of semilinear wave equations in $2$D	2013	Soichiro Katayama Hideo Kubo Sandra Lucente
+ PDF Chat	The energy decay and asymptotics for a class of semilinear wave equations in two space dimensions	2012	Soichiro Katayama Daisuke Murotani Hideaki Sunagawa
+ PDF Chat	ASYMPTOTIC POINTWISE BEHAVIOR FOR SYSTEMS OF SEMILINEAR WAVE EQUATIONS IN THREE SPACE DIMENSIONS	2012	Soichiro Katayama
+ PDF Chat	A note on the null condition for quadratic nonlinear Klein‐Gordon systems in two space dimensions	2012	Soichiro Katayama Tohru Ozawa Hideaki Sunagawa
+	Almost global existence for exterior Neumann problems of semilinear wave equations in 2D	2012	Soichiro Katayama Hideo Kubo Sandra Lucente
+	Semilinear hyperbolic systems violating the null condition	2012	Soichiro Katayama Toshiaki Matoba Hideaki Sunagawa
+ PDF Chat	Global existence for coupled systems of nonlinear wave and Klein–Gordon equations in three space dimensions	2011	Soichiro Katayama
+	A note on the null condition for quadratic nonlinear Klein-Gordon systems in two space dimensions	2011	Soichiro Katayama Tohru Ozawa Hideaki Sunagawa
+	The energy decay and asymptotics for a class of semilinear wave equations in two space dimensions	2011	Soichiro Katayama Daisuke Murotani Hideaki Sunagawa
+	Lower bound of the lifespan of solutions to semilinear wave equations in an exterior domain	2010	Soichiro Katayama Hideo Kubo
+ PDF Chat	The Rate of Convergence to the Asymptotics for the Wave Equation in an Exterior Domain	2010	Soichiro Katayama Hideo Kubo
+	ON THE LARGE TIME BEHAVIOR OF SOLUTIONS TO SEMILINEAR SYSTEMS OF THE WAVE EQUATION	2009	Soichiro Katayama H. Kubo
+	The rate of convergence to the asymptotics for the wave equation in an exterior domain	2009	Soichiro Katayama Hideo Kubo
+ PDF Chat	Global existence and asymptotic behavior of solutions to systems of semilinear wave equations in two space dimensions	2008	Soichiro Katayama
+ PDF Chat	An alternative proof of global existence for nonlinear wave equations in an exterior domain	2008	Soichiro Katayama Hideo Kubo
+	Lifespan for radially symmetric solutions to systems of semilinear wave equations with multiple speeds	2008	Soichiro Katayama
+	Asymptotic behavior of global solutions to some systems of semilinear wave equations	2008	Soichiro Katayama
+	Title A New Approach to the Null Condition for Nonlinear Wave Equations (Mathematical Analysis in Fluid and Gas Dynamics)	2008	Soichiro Katayama
+ PDF Chat	Decay Estimates of a Tangential Derivative to the Light Cone for the Wave Equation and Their Application	2008	Soichiro Katayama Hideo Kubo
+	Asymptotic behavior of solutions to semilinear systems of wave equations	2008	Soichiro Katayama Hideo Kubo
+	An elementary proof of global existence for nonlinear wave equations in an exterior domain	2007	Soichiro Katayama Hideo Kubo
+	Global small amplitude solutions to systems of nonlinear wave equations with multiple speeds	2006	Soichiro Katayama Kazuyoshi Yokoyama
+ PDF Chat	Sharp lower bound for the lifespan of systems of semilinear wave equations with multiple speeds	2005	Soichiro Katayama Akitaka Matsumura
+	Global small amplitude solutions to systems of nonlinear wave equations with multiple speeds	2005	Soichiro Katayama Kazuyoshi Yokoyama
+	Global existence for systems of wave equations with nonresonant nonlinearities and null forms	2004	Soichiro Katayama
+	GLOBAL EXISTENCE FOR A CLASS OF SYSTEMS OF NONLINEAR WAVE EQUATIONS IN THREE SPACE DIMENSIONS	2004	Soichiro Katayama
+ PDF Chat	Global and almost-global existence for systems of nonlinear wave equations with different propagation speeds	2004	Soichiro Katayama
+	SEMILINEAR WAVE EQUATIONS WITH SOME KIND OF NONLINEAR DAMPING IN HIGHER SPACE DIMENSIONS	2003	Soichiro Katayama
+	LIFESPAN OF SOLUTIONS FOR TWO SPACE DIMENSIONAL WAVE EQUATIONS WITH CUBIC NONLINEARITY	2001	Soichiro Katayama
+	THE CAUCHY AND MIXED PROBLEMS FOR SEMILINEAR WAVE EQUATIONS WITH NONLINEAR DAMPING TERMS	2000	Soichiro Katayama Sheikh Abu Naim Shigeo Tarama
+ PDF Chat	A note on global existence of solutions to nonlinear Klein-Gordon equations in one space dimension	1999	Soichiro Katayama
+ PDF Chat	Global Existence for Systems of Nonlinear Wave Equations in Two Space Dimensions, II	1995	Soichiro Katayama
+	Global existence of solutions for nonlinear schrödinger equations in one space dimension	1994	Soichiro Katayama Yoshio Tsutsumi
+ PDF Chat	Global Existence for Systems of Nonlinear Wave Equations in Two Space Dimensions	1993	Soichiro Katayama

Common Coauthors

Coauthor	Papers Together
Hideo Kubo	11
Hideaki Sunagawa	10
Daisuke Murotani	2
Tohru Ozawa	2
Sandra Lucente	2
Minggang Cheng	2
Toshiaki Matoba	2
Kazuyoshi Yokoyama	2
Chunhua Li	2
Akitaka Matsumura	2
Kyouhei Wakasa	1
Daisuke Sakoda	1
Sheikh Abu Naim	1
H. Kubo	1
Masahiro Ikeda	1
Yoshio Tsutsumi	1
Shigeo Tarama	1
Borislav Yordanov	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Global solutions of nonlinear hyperbolic equations for small initial data	1986	Demetrios Christodoulou	30
+ PDF Chat	Global existence of classical solutions to systems of nonlinear wave equations with different speeds of propagation	2001	Kôji Kubota Kazuyoshi Yokoyama	16
+	On the lifespan of solutions of nonlinear wave equations with small initial data	1990	Hans Lindblad	16
+ PDF Chat	Global existence of classical solutions to systems of wave equations with critical nonlinearity in three space dimensions	2000	Kazuyoshi Yokoyama	16
+	Lectures on Nonlinear Hyperbolic Differential Equations	1997	Lars Hörmander	14
+	Existence of a global solution to a semi–linear wave equation with slowly decreasing initial data in three space dimensions	1986	Fumioki Asakura	14
+ PDF Chat	Global and almost-global existence for systems of nonlinear wave equations with different propagation speeds	2004	Soichiro Katayama	13
+	Lifespan of solutions of semilinear wave equations in two space dimensions	1993	Paul Godin	12
+	The initial value problems for quasi‐linear wave equations in two space dimensions with small data	1992	Akira Hoshiga	11
+	Uniform decay estimates and the lorentz invariance of the classical wave equation	1985	Sergiù Klainerman	11
+ PDF Chat	Global Existence for Systems of Nonlinear Wave Equations in Two Space Dimensions	1993	Soichiro Katayama	11
+	Resonance-type behaviour in a system of nonlinear wave equations	1989	Mikhail Y. Kovalyov	10
+ PDF Chat	Global Existence for Systems of Nonlinear Wave Equations in 3D with Multiple Speeds	2001	Thomas C. Sideris Shu-Yi Tu	10
+	Existence for large times of strict solutions of nonlinear wave equations in three space dimensions for small initial data	1987	Fritz John	9
+	The null condition for quasilinear wave equations in two space dimensions I	2001	Serge Alinhac	9
+ PDF Chat	Global Existence for Systems of Nonlinear Wave Equations in Two Space Dimensions, II	1995	Soichiro Katayama	8
+	On almost global existence for nonrelativistic wave equations in 3D	1996	Sergiù Klainerman Thomas C. Sideris	8
+	Global small amplitude solutions to systems of nonlinear wave equations with multiple speeds	2006	Soichiro Katayama Kazuyoshi Yokoyama	8
+	Global Small Amplitude Solutions of Nonlinear Hyperbolic Systems with a Critical Exponent under the Null Condition	2000	Akira Hoshiga Hideo Kubo	8
+	On a global existence theorem of small amplitude solutions for nonlinear wave equations in an exterior domain	1986	Yoshihiro Shibata Yoshio Tsutsumi	7
+	Remarks on the global sobolev inequalities in the minkowski space R<sup>n+1</sup>	1987	Sergiù Klainerman	7
+	The null condition for quasilinear wave equations in two space dimensions, II	2001	Serge Alinhac	7
+ PDF Chat	The weak null condition for Einstein's equations	2003	Hans Lindblad Igor Rodnianski	6
+ PDF Chat	An alternative proof of global existence for nonlinear wave equations in an exterior domain	2008	Soichiro Katayama Hideo Kubo	6
+ PDF Chat	On a system of nonlinear Schrödinger equations in 2d	2011	Nakao Hayashi Chunhua Li Pavel I. Naumkin	6
+	Global existence of small solutions for quadratic quasilinear Klein–Gordon systems in two space dimensions	2004	Jean-Marc Delort Daoyuan Fang Ruying Xue	6
+	Blow‐up for quasi‐linear wave equations in three space dimensions	1981	Fritz John	6
+	Semilinear hyperbolic systems with blowup at infinity	2006	Serge Alinhac	6
+ PDF Chat	ASYMPTOTIC POINTWISE BEHAVIOR FOR SYSTEMS OF SEMILINEAR WAVE EQUATIONS IN THREE SPACE DIMENSIONS	2012	Soichiro Katayama	6
+	Global existence for systems of wave equations with nonresonant nonlinearities and null forms	2004	Soichiro Katayama	6
+ PDF Chat	The energy decay and asymptotics for a class of semilinear wave equations in two space dimensions	2012	Soichiro Katayama Daisuke Murotani Hideaki Sunagawa	6
+ PDF Chat	Global existence of quasilinear, nonrelativistic wave equations satisfying the null condition	2005	Jason Metcalfe Makoto Nakamura Christopher D. Sogge	6
+ PDF Chat	Large time behavior of solutions to the Klein-Gordon equation with nonlinear dissipative terms	2006	Hideaki Sunagawa	5
+	Modified Wave Operator for a System of Nonlinear Schrödinger Equations in 2d	2012	Nakao Hayashi Chunhua Li Pavel I. Naumkin	5
+ PDF Chat	Semilinear hyperbolic systems violating the null condition	2014	Soichiro Katayama Toshiaki Matoba Hideaki Sunagawa	5
+ PDF Chat	THE NULL CONDITION AND GLOBAL EXISTENCE OF SOLUTIONS TO SYSTEMS OF WAVE EQUATIONS WITH DIFFERENT SPEEDS	1998	Rentarô Agemi Kazuyoshi Yokoyama	5
+	Normal forms and quadratic nonlinear Klein‐Gordon equations	1985	Jalal Shatah	5
+ PDF Chat	The global existence theorem for quasi-linear wave equations with multiple speeds	2004	Kunio Hidano	5
+	Global existence of small solutions to nonlinear evolution equations	1982	Jalal Shatah	5
+	Uniform decay estimates for the wave equation in an exterior domain	2019	Hideo Kubo	5
+	On the Schrödinger Equation with Dissipative Nonlinearities of Derivative Type	2008	Nakao Hayashi Pavel I. Naumkin Hideaki Sunagawa	5
+	Global solution of the system of wave and Klein-Gordon equations	1990	Vladimir Georgiev	5
+	Asymptotic behavior of solutions to semilinear systems of wave equations	2008	Soichiro Katayama Hideo Kubo	5
+ PDF Chat	Decay Estimates of a Tangential Derivative to the Light Cone for the Wave Equation and Their Application	2008	Soichiro Katayama Hideo Kubo	5
+ PDF Chat	Global Existence for the Einstein Vacuum Equations in Wave Coordinates	2005	Hans Lindblad Igor Rodnianski	5
+ PDF Chat	A note on the null condition for quadratic nonlinear Klein‐Gordon systems in two space dimensions	2012	Soichiro Katayama Tohru Ozawa Hideaki Sunagawa	5
+	GLOBAL EXISTENCE FOR A CLASS OF SYSTEMS OF NONLINEAR WAVE EQUATIONS IN THREE SPACE DIMENSIONS	2004	Soichiro Katayama	5
+ PDF Chat	Global small amplitude solutions for two-dimensional nonlinear Klein–Gordon systems in the presence of mass resonance	2011	Yuichiro Kawahara Hideaki Sunagawa	5
+	The unit condition and global existence for a class of nonlinear Klein-Gordon equations	1992	Roman Kosecki	4
+	Remarks on energy inequalities for wave and Maxwell equations on a curved background	2004	Serge Alinhac	4