Papers - TSUTAYA KIMITOSHI
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Blow-up of solutions of semilinear wave equations in accelerated expanding Friedmann-Lemaitre-Robertson-Walker spacetime
Kimitoshi Tsutaya, Yuta Wakasugi
Reviews in Mathematical Physics 33 ( 2250003 ) 2022.2
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Blow up of solutions of semilinear wave equations related to nonlinear waves in de Sitter spacetime
Kimitoshi Tsutaya, Yuta Wakasugi
Partial Differential Equations and Applications 2022 ( 3:6f ) 2022.1
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On Glassey’s conjecture for semilinear wave equations in Friedmann–Lemaître– Robertson–Walker spacetime
Kimitoshi Tsutaya, Yuta Wakasugi
Boundary Value Problems 2021 ( 94 ) 2021.9
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On heatlike lifespan of solutions of semilinear wave equations in Friedmann-Lemaître-Robertson-Walker spacetime
Kimitoshi Tsutaya, Yuta Wakasugi
Journal of Mathematical Analysis and Applications 500 ( 2 ) 125133 - 125133 2021.3
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Blow up of solutions of semilinear wave equations in Friedmann-Lemaitre-Robertson-Walker spacetime
Kimitoshi Tsutaya, Yuta Wakasugi
JOURNAL OF MATHEMATICAL PHYSICS 61 ( 9 ) 2020.9
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ON THE ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF THE WAVE EQUATION OF HARTREE TYPE
Paschalis Karageorgis, Kimitoshi Tsutaya
16 ( 1 ) 11 - 44 2017
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SCATTERING THEORY FOR THE WAVE EQUATION OF A HARTREE TYPE IN THREE SPACE DIMENSIONS
Kimitoshi Tsutaya
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 34 ( 5 ) 2261 - 2281 2014.5
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Weighted estimates for a convolution appearing in the wave equation of Hartree type
Kimitoshi Tsutaya
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 411 ( 2 ) 719 - 731 2014.3
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Scattering theory for the Dirac equation of Hartree type and the semirelativistic Hartree equation
Makoto Nakamura, Kimitoshi Tsutaya
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 75 ( 8 ) 3531 - 3542 2012.5
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Scattering theory for the Dirac equation of Hartree type in 2+1 dimensions
Shuji Machihara, Kimitoshi Tsutaya
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 71 ( 12 ) E2437 - E2441 2009.12
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Scattering theory for the Dirac equation with a non-local term
Shuji Machihara, Kimitoshi Tsutaya
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS 139 867 - 878 2009
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GLOBAL EXISTENCE OF SOLUTIONS FOR A REACTION-DIFFUSION SYSTEM
Yutaka Aoyagi, Kimitoshi Tsutaya, Yusuke Yamauchi
DIFFERENTIAL AND INTEGRAL EQUATIONS 20 ( 12 ) 1321 - 1339 2007.12
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SMALL-DATA SCATTERING FOR NONLINEAR WAVES OF CRITICAL DECAY IN TWO SPACE DIMENSIONS
Paschalis Karageorgis, Kimitoshi Tsutaya
DIFFERENTIAL AND INTEGRAL EQUATIONS 19 ( 6 ) 601 - 626 2006.6
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On the asymptotic behavior of nonlinear waves in the presence of a short-range potential
P Karageorgis, K Tsutaya
MANUSCRIPTA MATHEMATICA 119 ( 3 ) 323 - 345 2006.3
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Nonlinear Schrodinger equation with inhomogeneous Dirichlet boundary data
C Bu, K Tsutaya, CY Zhang
JOURNAL OF MATHEMATICAL PHYSICS 46 ( 8 ) 2005.8
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The generalized Ginzburg-Landau equation: posed in a quarter plane.
Charles Bu, Hongjun Gao, Kimitoshi Tsutaya
Appl. Math. Comput. 159 ( 3 ) 667 - 674 2004
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Global existence and blow up for a wave equation with a potential and a cubic convolution
Kimitoshi Tsutaya
Nonlinear analysis and applications: to V. Lakshmikantham on his 80th birthday 1,2 913 - 937 2003
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Well-posedness in energy space for the Cauchy problem of the Klein-Gordon-Zakharov equations with different propagation speeds in three space dimensions
T Ozawa, K Tsutaya, Y Tsutsumi
MATHEMATISCHE ANNALEN 313 ( 1 ) 127 - 140 1999.1
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Local regularity of non-resonant nonlinear wave equations
Kimitoshi Tsutaya
11(2), 279-292 1998
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Existence and blow up of small amplitude nonlinear waves with a negative potential
Walter A. Strauss, Kimitoshi Tsutaya
3, 175-188 1997
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Remarks on the Klein-Gordon equation with quadratic nonlinearity in two space dimensions
T. Ozawa, K. Tsutaya, Y. Tsutsumi
GAKUTO Internat.Ser.Math.Sci.Appl 10 383 - 392 1997
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Global existence and asymptotic behavior of solutions for the Klein-Gordon equations with quadratic nonlinearity in two space dimensions
T Ozawa, K Tsutaya, Y Tsutsumi
MATHEMATISCHE ZEITSCHRIFT 222 ( 3 ) 341 - 362 1996.7
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Global existence of small amplitude solutions for the Klein-Gordon-Zakharov equations
Kimitoshi Tsutaya
Nonlinear Analysis, Theory, Methods and Applications 27 ( 12 ) 1373 - 1380 1996
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Global existence and asymptotic behavior of solutions for nonlinear wave equations
Kunio Hidano, Kimitoshi Tsutaya
44(4), 1273-1305 1995
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Normal form and global solutions for the Klein-Gordon-Zakharov equations
T. Ozawa, K. Tsutaya, Y. Tsutsumi
12 ( 4 ) 459 - 503 1995
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SCATTERING-THEORY FOR SEMILINEAR WAVE-EQUATIONS WITH SMALL DATA IN 2 SPACE DIMENSIONS
K TSUTAYA
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 342 ( 2 ) 595 - 618 1994.4
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Global existence and the life span of solutions of semilinear wave equations with data of non compact support in three space dimensions
Kimitoshi Tsutaya
37, 1-18 1994
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Lower bounds for the life span of solutions of semilinear wave equations with data of non compact support
Kimitoshi Tsutaya
Hokkaido Mathematical Journal 23 ( 3 ) 549 - 560 1994
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Erratum to the paper"Long-time behaviour of solutions of a system of nonlinear wave equations"
M. Kovalyov, Kimitoshi Tsutaya
18(11), 1971-1976 1993.1
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Global existence theorem for semilinear wave equations with non-compact data in two space dimensions
Kimitoshi Tsutaya
Journal of Differential Equations 104 ( 2 ) 332 - 360 1993
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SCATTERING-THEORY FOR SEMILINEAR WAVE-EQUATIONS WITH SMALL DATA IN 2 SPACE DIMENSIONS
K TSUTAYA
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES 68 ( 8 ) 227 - 231 1992.10
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A GLOBAL EXISTENCE THEOREM FOR SEMILINEAR WAVE-EQUATIONS WITH DATA OF NONCOMPACT SUPPORT IN 2 SPACE DIMENSIONS
K TSUTAYA
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 17 ( 11-12 ) 1925 - 1954 1992