Some nonlinear wave equations with nonlinear memory source term and acoustic boundary conditions

被引：15

作者：

Park, Jong Yeoul ^{[1
]}

Kim, Joung Ae ^{[1
]}

机构：

[1] Pusan Natl Univ, Dept Math, Pusan 609735, South Korea

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2006年 / 27卷 / 7-8期

关键词：

acoustic boundary conditions; Galerkin approximation;

D O I：

10.1080/01630560600884596

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence and uniqueness of global solutions to the mixed problem for the wave equation u" - Delta u + u + kappa(t)\u'\(alpha) u' = integral(t)(o) kappa(t-r)\u(r)\(gamma) u(r)dr with nonlinear memory source term and acoustic boundary conditions.

引用

页码：889 / 903

页数：15

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