Finite Time Blow-Up for Wave Equations with Strong Damping in an Exterior Domain

被引：9
|
作者：
Fino, Ahmad Z. [1 ]
机构：
[1] Lebanese Univ, Fac Sci, Dept Math, POB 1352, Tripoli, Lebanon
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2020年 / 17卷 / 06期
关键词：
Semilinear wave equation; blow-up; exterior domain; strong damping; CRITICAL EXPONENT; WEAK SOLUTIONS; EXISTENCE;
D O I：
10.1007/s00009-020-01607-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the initial boundary value problem in exterior domain for strongly damped wave equations with power-type nonlinearity vertical bar u vertical bar(p). We will establish blow-up results under some conditions on the initial data and the exponentp, using the method of test function with an appropriate harmonic functions. We also study the existence of mild solution and its relation with the weak formulation.
引用
收藏
页数：21
相关论文
共 50 条
  • [1] Finite Time Blow-Up for Wave Equations with Strong Damping in an Exterior Domain
    Ahmad Z. Fino
    Mediterranean Journal of Mathematics, 2020, 17
  • [2] BLOW-UP FOR SEMILINEAR WAVE EQUATIONS WITH TIME-DEPENDENT DAMPING IN AN EXTERIOR DOMAIN
    Jleli, Mohamed
    Samet, Bessem
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2020, 19 (07) : 3885 - 3900
  • [3] Blow-up of solution to semilinear wave equations with strong damping and scattering damping
    Sen Ming
    Jiayi Du
    Yeqin Su
    Hui Xue
    Boundary Value Problems, 2022
  • [4] Blow-up of solution to semilinear wave equations with strong damping and scattering damping
    Ming, Sen
    Du, Jiayi
    Su, Yeqin
    Xue, Hui
    BOUNDARY VALUE PROBLEMS, 2022, 2022 (01)
  • [5] Blow-Up of Solutions to Boundary Value Problems of Coupled Wave Equations with Damping Terms on Exterior Domain
    Ming, Sen
    Du, Jiayi
    Xie, Jin
    Wu, Xiao
    JOURNAL OF MATHEMATICAL STUDY, 2024, 57 (02) : 194 - 222
  • [6] BLOW-UP OF SOLUTIONS TO SEMILINEAR WAVE EQUATIONS WITH A TIME-DEPENDENT STRONG DAMPING
    Fino, Ahmad Z.
    Hamza, Mohamed Ali
    EVOLUTION EQUATIONS AND CONTROL THEORY, 2022, 11 (06): : 1955 - 1966
  • [7] Blow-up of solutions to the semilinear wave equation with scale invariant damping on exterior domain
    Cui Ren
    Sen Ming
    Xiongmei Fan
    Jiayi Du
    Boundary Value Problems, 2023
  • [8] Blow-up of solutions to the semilinear wave equation with scale invariant damping on exterior domain
    Ren, Cui
    Ming, Sen
    Fan, Xiongmei
    Du, Jiayi
    BOUNDARY VALUE PROBLEMS, 2023, 2023 (01)
  • [9] Finite time blow-up for a nonlocal in time nonlinear heat equation in an exterior domain
    Jleli, Mohamed
    Samet, Besssem
    APPLIED MATHEMATICS LETTERS, 2020, 99
  • [10] FINITE TIME BLOW-UP FOR A VISCOELASTIC WAVE EQUATION WITH WEAK-STRONG DAMPING AND POWER NONLINEARITY
    Miyasita, Tosiya
    Zennir, Khaled
    OSAKA JOURNAL OF MATHEMATICS, 2021, 58 (03) : 661 - 669
12345