Energy Decay and Continuous Dependence for Damped Semilinear Wave Equation

被引：1

作者：

Gur, Sevket ^{[1
]}

Yaman, Metin ^{[1
]}

机构：

[1] Univ Sakarya, Art & Sci Fac, Sakarya, Turkey

来源：

IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE | 2019年 / 43卷 / A4期

关键词：

Damped semilinear wave equations; Viscoelastic hyperbolic equation; Decay estimates; Continuous dependence; STRUCTURAL STABILITY; BLOW-UP; TIME;

D O I：

10.1007/s40995-017-0471-y

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We study uniform stabilization and the continuous dependence of solutions to an initial and boundary value problem for a nonlinear hyperbolic equation with (possibly strong) linear damping.

引用

页码：1601 / 1605

页数：5

共 50 条

[41] Exponential energy decay estimate for the solutions of internally damped wave equation in a bounded domain
Gorain, GC
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 216 (02) : 510 - 520
[42] INTEGRATED LOCAL ENERGY DECAY FOR THE DAMPED WAVE EQUATION ON STATIONARY SPACE-TIMES
Kofroth, Collin
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2023, 55 (05) : 5086 - 5126
[43] On the dimension of the global attractor for a damped semilinear wave equation with critical exponent
Huang, Y
Yi, Z
Yin, ZY
JOURNAL OF MATHEMATICAL PHYSICS, 2000, 41 (07) : 4957 - 4966
[44] Continuous dependence and general decay of solutions for a wave equation with a nonlinear memory term
Doan Thi Nhu Quynh
Nguyen Huu Nhan
Le Thi Phuong Ngoc
Nguyen Thanh Long
Applications of Mathematics, 2022, 68 : 209 - 254
[45] Continuous Dependence and General Decay of Solutions for a Wave Equation with a Nonlinear Memory Term
Doan Thi Nhu Quynh
Nguyen Huu Nhan
Le Thi Phuong Ngoc
Nguyen Thanh Long
APPLICATIONS OF MATHEMATICS, 2022, 68 (02) : 209 - 254
[46] Long-time asymptotic expansion for the damped semilinear wave equation
Varlamov, V
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 276 (02) : 896 - 923
[47] MINIMAL COMPACT GLOBAL ATTRACTOR FOR A DAMPED SEMILINEAR WAVE-EQUATION
KAPITANSKI, L
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1995, 20 (7-8) : 1303 - 1323
[48] Continuous dependence of solutions for damped improved Boussinesq equation
Bayraktar, Sema
Gur, Sevket
TURKISH JOURNAL OF MATHEMATICS, 2020, 44 (01) : 334 - 341
[49] TIME DECAY OF SOLUTIONS OF SEMILINEAR STRONGLY DAMPED GENERALIZED WAVE-EQUATIONS
BILER, P
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 1991, 14 (06) : 427 - 443
[50] Energy decay rates for the semilinear wave equation with memory boundary condition and acoustic boundary conditions
Jeong, Jin-Mun
Park, Jong Yeoul
Kang, Yong Han
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 73 (09) : 1975 - 1986

← 1 2 3 4 5 →