On the decay estimate for small solutions to nonlinear Klein-Gordon equations with dissipative structure

被引：0

作者：

Nishii, Yoshinori ^{[1
]}

机构：

[1] Tokyo Univ Sci, Grad Sch Sci, Dept Math, 1-3 Shinjuku Ku, Tokyo 1628601, Japan

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2025年 / 424卷

关键词：

Nonlinear Klein-Gordon equation; Dissipative structure; L p -decay estimate; SEMILINEAR WAVE-EQUATIONS; INITIAL-VALUE PROBLEM; LARGE TIME BEHAVIOR; SCHRODINGER-EQUATIONS; GLOBAL EXISTENCE; ENERGY DECAY; ASYMPTOTIC-BEHAVIOR; SYSTEMS;

D O I：

10.1016/j.jde.2025.02.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the Cauchy problem for cubic nonlinear Klein-Gordon equations in one space dimension. We give the Lp-decay estimate for the small data solution and show that it decays faster than the free solution if the cubic nonlinearity has the suitable dissipative structure. (c) 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

引用

页码：815 / 832

页数：18

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