Global well-posedness and optimal decay rates for a transmission problem of viscoelastic wave equations with degenerate nonlocal damping

被引：0

作者：

Liu, Zhiqing ^{[1
]}

Fang, Zhong Bo ^{[2
]}

机构：

[1] Qingdao Univ Sci & Technol, Sch Math & Phys, Qingdao 266061, Peoples R China

[2] Ocean Univ China, Sch Math Sci, Qingdao 266100, Peoples R China

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2023年 / 74卷 / 02期

关键词：

Transmission problem; Nonlocal damping; Optimal decay rate; PLATE EQUATION; BLOW-UP; ATTRACTORS; BEHAVIOR; INFINITY; MODEL;

D O I：

10.1007/s00033-023-01949-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates a transmission problem of viscoelastic wave equations with degenerate nonlocal damping. We prove the global well-posedness of the problem with the aid of Faedo-Galerkin technique and the multiplier method. Meantime, by introducing a new Lyapunov functional, we establish the optimal explicit and general energy decay results.

引用

页数：25

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