Tokio Matsuyama

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All published works

Action	Title	Year	Authors
+	A lower bound for the life span of solutions to the Kirchhoff equation with Gevrey data	2022	Tokio Matsuyama Lenny Neyt
+	The global solvability of the Kirchhoff equation with Sobolev data	2022	Tokio Matsuyama Lenny Neyt
+ PDF Chat	Bilinear estimates in Besov spaces generated by the Dirichlet Laplacian	2020	Tsukasa Iwabuchi Tokio Matsuyama Koichi Taniguchi
+	Global well-posedness of the Kirchhoff equation	2020	Tokio Matsuyama
+ PDF Chat	On the Gevrey well-posedness of the Kirchhoff equation	2019	Tokio Matsuyama Michael Ruzhansky
+	Besov spaces on open sets	2019	Tsukasa Iwabuchi Tokio Matsuyama Koichi Taniguchi
+ PDF Chat	Low frequency resolvent estimates for Dirichlet Laplacian on exterior domains	2019	Vladimir Georgiev Tokio Matsuyama
+	Boundedness of spectral multipliers for Schrödinger operators on open sets	2018	Tsukasa Iwabuchi Tokio Matsuyama Koichi Taniguchi
+	Almost global well-posedness of Kirchhoff equation with Gevrey data	2017	Tokio Matsuyama Michael Ruzhansky
+	L p -boundedness of Functions of Schrödinger Operators on an Open Set of ℝ d $$\mathbb{R}^{d}$$	2017	Tsukasa Iwabuchi Tokio Matsuyama Koichi Taniguchi
+	The Kirchhoff Equation with Gevrey Data	2017	Tokio Matsuyama Michael Ruzhansky
+	Bilinear estimates in Besov spaces generated by the Dirichlet Laplacian	2017	Tsukasa Iwabuchi Tokio Matsuyama Koichi Taniguchi
+	Decay estimates for wave equation with a potential on exterior domains	2016	Vladimir Georgiev Tokio Matsuyama
+	Besov spaces on open sets	2016	Tsukasa Iwabuchi Tokio Matsuyama Koichi Taniguchi
+	Besov spaces on open sets	2016	Tsukasa Iwabuchi Tokio Matsuyama Koichi Taniguchi
+	$L^p$-mapping properties for Schrödinger operators in open sets of $\mathbb R ^d$	2016	Tsukasa Iwabuchi Tokio Matsuyama Kazuhiro Taniguchi
+	On wave equation outside trapping obstacles and local energy decay in odd space dimensions	2016	Tokio Matsuyama G Tkachev Vladimir
+	Besov spaces on open sets	2016	Tsukasa Iwabuchi Tokio Matsuyama Koichi Taniguchi
+	Global solvability of the Kirchhoff equation with Gevrey data	2015	Tokio Matsuyama Michael Ruzhansky
+	Global solvability of the Kirchhoff equation with Gevrey data	2015	Tokio Matsuyama Michael Ruzhansky
+	L^p-MAPPING PROPERTIES FOR SCHRӦDINGER OPERATORS IN OPEN SETS OF R^d	2015	Tsukasa Iwabuchi Tokio Matsuyama Koichi Taniguchi
+	On the Gevrey well-posedness of the Kirchhoff equation	2015	Tokio Matsuyama Michael Ruzhansky
+ PDF Chat	Global Well-Posedness of the Kirchhoff Equation and Kirchhoff Systems	2014	Tokio Matsuyama Michael Ruzhansky
+	Perturbed Besov Spaces by a Short-range Type Potential in an Exterior Domain	2013	Tokio Matsuyama
+ PDF Chat	Scattering for strictly hyperbolic systems with time‐dependent coefficients	2013	Tokio Matsuyama Michael Ruzhansky
+ PDF Chat	Global well-posedness of Kirchhoff systems	2012	Tokio Matsuyama Michael Ruzhansky
+	Representation Formula of the Resolvent for Wave Equation with a Potential Outside the Convex Obstacle	2012	Tokio Matsuyama
+	Global well-posedness for the exterior initial-boundary value problem to the Kirchhoff equation	2010	Tokio Matsuyama
+ PDF Chat	A necessary and sufficient condition on scattering for the regularly hyperbolic systems	2010	Tokio Matsuyama Michael Ruzhansky
+ PDF Chat	Asymptotic integration and dispersion for hyperbolic equations	2010	Tokio Matsuyama Michael Ruzhansky
+	The Kirchhoff Equation with Global Solutions in Unbounded Domains	2010	Tokio Matsuyama
+ PDF Chat	Time decay for hyperbolic equations with homogeneous symbols	2009	Tokio Matsuyama Michael Ruzhansky
+	Partial Differential Equations Time decay for hyperbolic equations with homogeneous symbols	2009	Tokio Matsuyama Michael Ruzhansky
+	$L^{p}$-$L^{q}$ estimates for wave equations and the Kirchhoff equation	2008	Tokio Matsuyama
+	Asymptotic integration and dispersion for hyperbolic equations, with applications to Kirchhoff equations	2007	Tokio Matsuyama Michael Ruzhansky
+ PDF Chat	DISPERSION AND ASYMPTOTIC PROFILES FOR KIRCHHOFF EQUATIONS	2007	Tokio Matsuyama Michael Ruzhansky
+	Asymptotic integration and dispersion for hyperbolic equations	2007	Tokio Matsuyama Michael Ruzhansky
+	Dispersion and asymptotic profiles for Kirchhoff equations	2007	Tokio Matsuyama Michael Ruzhansky
+	Asymptotic behaviour for wave equation with time-dependent coefficients	2006	Tokio Matsuyama
+	<i>L<sup>p</sup></i>-estimates for the wave equation with time-dependent dissipation	2005	Tokio Matsuyama
+	The role of local energy decay in $L^p$-estimates for the wave equation with time-dependent dissipation (Study of Wave Equations : Decay, Boundedness, and Growth of Energy)	2005	Tokio Matsuyama
+ PDF Chat	Scattering states for the nonlinear wave equation with small data	2004	Tokio Matsuyama Minoru Tanaka
+	ASYMPTOTIC BEHAVIOUR OF SOLUTIONS FOR THE NONLINEAR DISSIPATIVE WAVE EQUATION	2003	Tokio Matsuyama
+ PDF Chat	Asymptotics for the nonlinear dissipative wave equation	2002	Tokio Matsuyama
+	Asymptotic behaviour of solutions for the wave equation with an effective dissipation around the boundary	2002	Tokio Matsuyama
+	L^2-BEHAVIOUR OF SOLUTIONS TO THE LINEAR HEAT AND WAVE EQUATIONS IN EXTERIOR DOMAINS	2002	Ryo Ikehata Tokio Matsuyama
+	Remarks on the behaviour of solutions to the linear wave equations in unbounded domains	2001	Ryo Ikehata Tokio Matsuyama
+	Quasilinear hyperbolic–hyperbolic singular perturbations with nonmonotone nonlinearity	1999	Tokio Matsuyama
+	On Global Solutions and Energy Decay for the Wave Equations of Kirchhoff Type with Nonlinear Damping Terms	1996	Tokio Matsuyama Ryo Ikehata
+ PDF Chat	Singular Limit of Some Quasilinear Wave Equations with Damping and Restoring Terms	1996	Tokio Matsuyama
+ PDF Chat	Singular limit of some quasilinear wave equations with damping terms	1996	Tokio Matsuyama
+	A remark on the nonrelativistic limit for semilinear dirac equations	1995	Tokio Matsuyama
+	RAPIDLY DECREASING SOLUTIONS AND NONRELATIVISTIC LIMIT OF SEMILINEAR DIRAC EQUATIONS	1995	Tokio Matsuyama

Common Coauthors

Coauthor	Papers Together
Michael Ruzhansky	17
Tsukasa Iwabuchi	10
Koichi Taniguchi	9
Ryo Ikehata	3
Lenny Neyt	2
Vladimir Georgiev	2
G Tkachev Vladimir	1
Kazuhiro Taniguchi	1
Minoru Tanaka	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	A class of nonlinear hyperbolic problems with global solutions	1993	Piero DʼAncona Sergio Spagnolo	14
+	Scattering for a Quasilinear Hyperbolic Equation of Kirchhoff Type	1998	Taeko Yamazaki	14
+	Global Existence for Nonlinear Hyperbolic Systems of Kirchhoff Type	1996	Emanuele Callegari Renato Manfrin	13
+	On the global solvability of Kirchhoff equation for non-analytic initial data	2005	Renato Manfrin	12
+	KIRCHHOFF TYPE EQUATIONS DEPENDING ON A SMALL PARAMETER	1995	Piero DʼAncona Sergio Spagnolo	11
+	Nonlinear perturbations of the kirchhoff equation	1994	Piero DʼAncona Sergio Spagnolo	10
+	THE THEORY OF PARTIAL DIFFERENTIAL EQUATIONS	1975	F. G. Friedlander	10
+	Global solvability for the Kirchhoff equations in exterior domains of dimension larger than three	2004	Taeko Yamazaki	9
+ PDF Chat	On the global solvability of symmetric hyperbolic systems of Kirchhoff type	1997	Renato Manfrin	9
+ PDF Chat	On a Global Solution of Some Quasilinear Hyperbolic Equation	1984	Kenji Nishihara	9
+	One-dimensional Kirchhoff equation	2002	Witold Rzymowski	8
+	Global solvability for the degenerate Kirchhoff equation with real analytic data	1992	Piero DʼAncona Sonia Lupica Spagnolo	8
+	Decay Estimates for the Wave Equation with Potential	2003	Vladimir Georgiev Nicola Visciglia	8
+	Global solvability for the Kirchhoff equations in exterior domains of dimension three	2004	Taeko Yamazaki	8
+	Asymptotic Integrations of the Adiabatic Oscillator	1947	Aurel Wintner	8
+	Estimates for hyperbolic equations with non-convex characteristics	1996	Mitsuru Sugimoto	7
+	A priori estimates for higher order hyperbolic equations	1994	Mitsuru Sugimoto	7
+ PDF Chat	Theory of Partial Differential Equations	1972	H. M. Lieberstein	6
+	On the wave equation with a large rough potential	2005	Piero DʼAncona Vittoria Pierfelice	6
+	ON A CLASS OF QUASILINEAR HYPERBOLIC EQUATIONS	1975	Stanislav I. Pohožaev	6
+	Global well-posedness for the exterior initial-boundary value problem to the Kirchhoff equation	2010	Tokio Matsuyama	6
+	Mapping properties of generalized Fourier transforms and applications to Kirchhoff equations	2000	Charlotte Heiming	6
+ PDF Chat	Global well-posedness of Kirchhoff systems	2012	Tokio Matsuyama Michael Ruzhansky	6
+	Ordinary Differential Equations	2017	John M. Stewart	6
+	The Kirchhoff Equation with Global Solutions in Unbounded Domains	2010	Tokio Matsuyama	5
+ PDF Chat	Kirchhoff equations from quasi-analytic to spectral-gap data	2011	Marina Ghisi Massimo Gobbino	5
+	A priori estimates for the wave equation and some applications	1970	Robert S. Strichartz	5
+	Asymptotic behaviour as t → +∞ of the solutions of linear hyperbolic equations with coefficients discontinuous in time (on a bounded domain)	1981	Alberto Arosio	5
+	Estimates for Hyperbolic Equations of Space Dimension 3	1998	Mitsuru Sugimoto	5
+	Eigenfunction expansions and scattering theory for the wave equation in an exterior region	1966	Norman Shenk	5
+ PDF Chat	Asymptotic integration and dispersion for hyperbolic equations	2010	Tokio Matsuyama Michael Ruzhansky	5
+	Generalized fourier transforms and global small solutions to kirchhoff equations	1995	Reinhard Racke	5
+ PDF Chat	$L^p-L^q$ estimate for wave equation with bounded time dependent coefficient	2005	Michael Reissig James Smith	4
+ PDF Chat	Dispersive and Strichartz Estimates for Hyperbolic Equations with Constant Coefficients	2010	Michael Ruzhansky J. L. Smith	4
+ PDF Chat	Lp - Lq Decay Estimates for Wave Equations with Time-Dependent Coefficients	2004	Michael Reissig	4
+	Time Global Solutions to the Cauchy Problem for Multidimensional Kirchhoff Equations	2009	Kunihiko Kajitani	4
+	Theory of Differential Equations.	1961	Paul Brock Andrew Russell Forsyth	4
+	Asymptotic behaviour for wave equation with time-dependent coefficients	2006	Tokio Matsuyama	4
+	On the mildly degenerate Kirchhoff string	1991	Alberto Arosio S. Garavaldi	4
+ PDF Chat	Estimates for translation invariant operators in Lp spaces	1960	Lars Hörmander	4
+	On global real analytic solutions of the degenerate Kirchhoff equation	1994	Kunihiko Kajitani Kaoru Yamaguti	4
+ PDF Chat	Scattering for strictly hyperbolic systems with time‐dependent coefficients	2013	Tokio Matsuyama Michael Ruzhansky	4
+	Kirchhoff Equations in Generalized Gevrey Spaces: Local Existence, Global Existence, Uniqueness	2010	Marina Ghisi Massimo Gobbino	4
+	L p -L p?-Estimates for Fourier integral operators related to hyperbolic equations	1977	Philip Brenner	4
+	OnL p?Lp? estimates for the wave-equation	1975	Philip Brenner	4
+ PDF Chat	Global Well-Posedness of the Kirchhoff Equation and Kirchhoff Systems	2014	Tokio Matsuyama Michael Ruzhansky	4
+ PDF Chat	A necessary and sufficient condition on scattering for the regularly hyperbolic systems	2010	Tokio Matsuyama Michael Ruzhansky	3
+	Pointwise van der Corput lemma for functions of several variables	2009	Michael Ruzhansky	3
+	Energy Decay and Asymptotic Behavior of Solutions to the Wave Equations with Linear Dissipation	1996	Kiyoshi Mochizuki Hideo Nakazawa	3
+	Asymptotic stability and blowing up of solutions of some nonlinear equations	1977	Hitoshi Ishii	3