Periodic problem for the nonlinear damped wave equation with convective nonlinearity

被引：3

作者：

Carreno-Bolanos, Rafael ^{[1
]}

Juarez-Campos, Beatriz ^{[1
]}

Naumkin, Pavel I. ^{[2
]}

机构：

[1] Inst Tecnol Morelia, Tecnol Nacl Mexico, Morelia, Michoacan, Mexico

[2] UNAM, Ctr Ciencias Matemat, Campus Morelia,AP 61-3 Xangari, Morelia 58089, Michoacan, Mexico

来源：

STUDIES IN APPLIED MATHEMATICS | 2020年 / 145卷 / 01期

关键词：

asymptotics of solutions; convective nonlinearity; nonlinear damped wave equations; periodic problem;

D O I：

10.1111/sapm.12316

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the nonlinear damped wave equation with a linear pumping and a convective nonlinearity. We consider the solutions, which satisfy the periodic boundary conditions. Our aim is to prove global existence of solutions to the periodic problem for the nonlinear damped wave equation by applying the energy-type estimates and estimates for the Green operator. Moreover, we study the asymptotic profile of global solutions.

引用

页码：137 / 149

页数：13

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