Stabilization of the Transmission Wave Equation with Variable Coefficients and Interior Delay

被引：1

作者：

Guo, Zhiling ^{[1
]}

Chai, Shugen ^{[1
]}

机构：

[1] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Peoples R China

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2023年 / 33卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Stabilization; Problem of transmission; Interior delay; Dynamical boundary; Wave equation; BOUNDARY FEEDBACK STABILIZATION; CONTROLLABILITY; STABILITY; DECAY;

D O I：

10.1007/s12220-022-01108-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider stabilization of the transmission wave equation with variable coefficients, which has an acceleration term and interior delay. By using Riemannian geometry method and Lyapunov functional, we obtain the exponential decay for the solutions.

引用

页数：20

共 24 条

[1] Feedback boundary stabilization of wave equations with interior delay [J].

Ammari, Kais ;

Nicaise, Serge ;

Pignotti, Cristina .

SYSTEMS & CONTROL LETTERS, 2010, 59 (10) :623-628

[2] Stabilization of a transmission wave/plate equation [J].

Ammari, Kais ;

Nicaise, Serge .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2010, 249 (03) :707-727

[3] Boundary feedback stabilization of the transmission problem of Naghdi's model [J].

Chai, SG ;

Liu, KS .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 319 (01) :199-214

[4]

[柴树根 Chai Shugen], 2005, [数学年刊. A辑, Chinese Annals of Mathematics, Ser. A], V26, P605

[5] Uniform decay rate for the transmission wave equations with variable coefficients [J].

Chai, Shugen .

JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2011, 24 (02) :253-260

[6] AN EXAMPLE ON THE EFFECT OF TIME DELAYS IN BOUNDARY FEEDBACK STABILIZATION OF WAVE-EQUATIONS [J].

DATKO, R ;

LAGNESE, J ;

POLIS, MP .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1986, 24 (01) :152-156

[7] 2 QUESTIONS CONCERNING THE BOUNDARY CONTROL OF CERTAIN ELASTIC-SYSTEMS [J].

DATKO, R .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1991, 92 (01) :27-44

[8] Existence and exponential stability of a damped wave equation with dynamic boundary conditions and a delay term [J].

Gerbi, Stephane ;

Said-Houari, Belkacem .

APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (24) :11900-11910

[9]

Guo DD., 2017, ELECTRON J DIFFER EQ, V2017, P1

[10]

Li J, 2013, ELECTRON J DIFFER EQ, V112

← 1 2 3 →