Stabilization of hyperbolic problems with localized damping in unbounded domains

被引：2

作者：

Cavalcanti, M. M. ^{[1
]}

Cavalcanti, V. N. Domingos ^{[1
]}

Martinez, Victor H. Gonzalez ^{[2
]}

Marchiori, Talita Druziani ^{[1
]}

Vicente, A. ^{[3
]}

机构：

[1] Univ Estadual Maringa, Dept Math, BR-87020900 Maringa, PR, Brazil

[2] Univ Fed Pernambuco, Dept Math, BR-50740545 Recife, PE, Brazil

[3] Western Parana State Univ, Ctr Exact & Technol Sci, Cascavel, PR, Brazil

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2024年 / 537卷 / 01期

关键词：

Wave equation; Klein-Gordon equation; Localized frictional damping; Unbounded domain with finite measure; Microlocal analysis; Stability; SEMILINEAR WAVE-EQUATION; ENERGY DECAY; ASYMPTOTIC STABILITY; EXPONENTIAL DECAY; RATES; MANIFOLDS;

D O I：

10.1016/j.jmaa.2024.128256

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We are concerned with stability issues for hyperbolic problems in unbounded domains. We consider the Klein -Gordon equation posed in the whole N-dimensional Euclidian space R-N and also the wave equation posed in unbounded domains with finite measure. The goal is to remove the damping at infinity. Precisely, given a positive real number M > 0, we construct a region Xi free of damping, with finite measure, such that Xi is globally distributed. To establish our results we use the microlocal analysis theory combined with Egorov's theorem. (c) 2024 Elsevier Inc. All rights reserved.

引用

页数：19

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