Uniform stabilization of wave equation with localized internal damping and acoustic boundary condition with viscoelastic damping

被引：19

作者：

Frota, Cicero Lopes ^{[1
]}

Vicente, Andre ^{[2
]}

机构：

[1] Univ Estadual Maringa, Dept Matemat, Maringa, Parana, Brazil

[2] Univ Estadual Oeste Parana, Ctr Ciencias Exatas & Tecnol, Cascavel, PR, Brazil

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2018年 / 69卷 / 03期

关键词：

Nonlinear wave equation; Acoustic boundary conditions; Uniform stabilization; Localized damping; ASYMPTOTIC STABILITY; DECAY; EXISTENCE; DOMAINS;

D O I：

10.1007/s00033-018-0977-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we deal with the uniform stabilization to the mixed problem for a nonlinear wave equation and acoustic boundary conditions on a non-locally reacting boundary. The main purpose is to study the stability when the internal damping acts only over a subset of the domain and the boundary damping is of the viscoelastic type.

引用

页数：24

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