REMARKS ON THE ASYMPTOTIC BEHAVIOR OF THE CUBIC NONLINEAR KLEIN-GORDON EQUATIONS IN ONE SPACE DIMENSION

Hideaki Sunagawa

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REMARKS ON THE ASYMPTOTIC BEHAVIOR OF THE CUBIC NONLINEAR KLEIN-GORDON EQUATIONS IN ONE SPACE DIMENSION

机译：一维立体立方非线性Klein-Gordon方程的渐近性

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We study the large time behavior of the solution to the Cauchy problem for the one-dimensional, cubic nonlinear Klein-Grodon equation with complex-valued initial data. We show that the small amplitude solution decays like t~(-1/2) as t tends to infinity. Several remarks are also given on the large time asymptotics.

机译：我们研究具有复数值初始数据的一维立方非线性Klein-Grodon方程的Cauchy问题解的较大时间行为。我们表明，随着t趋于无穷大，小振幅解的衰减像t〜（-1/2）一样。关于长时间的渐近现象也有几点评论。

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《Differential and integral equations》 |2005年第5期|共14页
作者
Hideaki Sunagawa;
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正文语种 eng
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1. REMARKS ON THE ASYMPTOTIC BEHAVIOR OF THE CUBIC NONLINEAR KLEIN-GORDON EQUATIONS IN ONE SPACE DIMENSION [J] . Hideaki Sunagawa Differential and integral equations . 2005,第5期

机译：一维立体立方非线性Klein-Gordon方程的渐近性
2. THE ASYMPTOTIC BEHAVIOUR OF SOLUTIONS FOR A CLASS OF QUASILINEAR WAVE EQUATIONS WITH CUBIC NONLINEARITY IN TWO SPACE DIMENSIONS [J] . YIN HUICHENG Acta Mathematicae Applicatae Sinica . 2000,第3期

机译：一类二维立方非线性拟线性波方程解的渐近性态。
3. On global small amplitude solutions to systems of cubic nonlinear Klein-Gordon equations with different mass terms in one space dimension [J] . Sunagawa H. Journal of Differential Equations . 2003,第2期

机译：一维空间中具有不同质量项的立方非线性Klein-Gordon方程组的整体小振幅解
4. Uniform asymptotic of solution of the cubic nonlinear Schrodinger equation in the focal area of the narrow 2-dimensional focused light beam [C] . Proekt, L.B., Tropp, . 1997

机译：二维二维聚焦光束聚焦区域中三次非线性薛定inger方程解的一致渐近
5. Asymptotic behavior of the solutions of Maxwell, Klein-Gordon field equations in 4-dimensional Minkowski space [D] . Psarelli, Maria 1995

机译：4维Minkowski空间中Maxwell，Klein-Gordon场方程解的渐近行为
6. Exact solutions for (1 + 1)-dimensional nonlinear dispersive modified Benjamin-Bona-Mahony equation and coupled Klein-Gordon equations [O] . Kamruzzaman Khan, M Ali Akbar, S M Rayhanul Islam -1

机译：（1 + 1）维非线性色散修正的Benjamin-Bona-Mahony方程和Klein-Gordon耦合方程的精确解
7. Global Existence and Asymptotic Behavior of Solutions for the Klein-Gordon Equations with Quadratic Nonlinearity in Two Space Dimensions(Mathematical Analysis of Phenomena in fluid and Plasma Dynamics) [O] . Ozawa Tohru, Tsutaya Kimitoshi, Tsutumi Yoshio 1995

机译：二维空间二次非线性Klein-Gordon方程解的整体存在性和渐近行为（流体动力学和等离子体动力学的数学分析）
8. Remarks on the Asymptotic Behavior of Solutions to Damped Wave Equations in Hilbert Space. [R] . Bloom, F. 1978

机译：关于Hilbert空间中阻尼波方程解的渐近性的注记。

REMARKS ON THE ASYMPTOTIC BEHAVIOR OF THE CUBIC NONLINEAR KLEIN-GORDON EQUATIONS IN ONE SPACE DIMENSION

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