ON THE ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF THE WAVE EQUATION OF HARTREE TYPE

Paschalis Karageorgis, Kimitoshi Tsutaya

16 ( 1 )   11 - 44   2017

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

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

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

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

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

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

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

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

Nonlinear Schrodinger equation with inhomogeneous Dirichlet boundary data

C Bu, K Tsutaya, CY Zhang

JOURNAL OF MATHEMATICAL PHYSICS   46 ( 8 )   2005.8

The generalized Ginzburg-Landau equation: posed in a quarter plane.

Charles Bu, Hongjun Gao, Kimitoshi Tsutaya

Appl. Math. Comput.   159 ( 3 )   667 - 674   2004

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

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

Local regularity of non-resonant nonlinear wave equations

Kimitoshi Tsutaya

11(2), 279-292   1998

Existence and blow up of small amplitude nonlinear waves with a negative potential

Walter A. Strauss, Kimitoshi Tsutaya

3, 175-188   1997

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

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

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

Global existence and asymptotic behavior of solutions for nonlinear wave equations

Kunio Hidano, Kimitoshi Tsutaya

44(4), 1273-1305   1995

Normal form and global solutions for the Klein-Gordon-Zakharov equations

T. Ozawa, K. Tsutaya, Y. Tsutsumi

12 ( 4 )   459 - 503   1995

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

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

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

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

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

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

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

台がコンパクトでない初期dataをもつ半線型波動方程式の大域解の存在について(偏微分方程式の解の構造の研究)

久保田 幸次, 津田谷 公利

数理解析研究所講究録   ( 795 )   33 - 62   1992.7