Finite time blow-up for a kind of initial-boundary value problem of semilinear damped wave equation-Reference-Cited by-同舟云学术

Finite time blow-up for a kind of initial-boundary value problem of semilinear damped wave equation

Published:2016-06-30 Issue:4 Volume:40 Page:1223-1230
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math. Meth. Appl. Sci.

Author:

Lai Ningan¹,Yin Silu²

Affiliation:

1. Department of Mathematics; Lishui University; Lishui 323000 Zhejiang China

2. Department of Mathematics; Shanghai University; Shanghai 200444 China

Publisher

Wiley

Subject

General Engineering,General Mathematics

Reference21 articles.

1. Existence of global solutions to the Cauchy problem for the semilinear dissipative wave equations;Nakao;Mathematische Zeitschrift,1993

2. Breakdown of solutions to □u + ut=u1 + α;Li;Discrete and Continuous Dynamical Systems,1995

3. Critical exponent for a nonlinear wave equation with damping;Todorova;Journal of Differential Equations,2001

4. On the blowing up of solutions of the Cauchy problem for ut=Δu+|u|1 + α;Fujita;Journal of the Faculty of Science, The University of Tokyo, Section IA, Mathematics,1966

5. A blow-up result for a nonlinear wave equation with damping: the critical case;Zhang;Comptes Rendus de I'Academie des Sciences, Series 1,2001

Cited by 11 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Blow-Up of Solutions to Boundary Value Problems of Coupled Wave Equations with Damping Terms on Exterior Domain;Journal of Mathematical Study;2024-06

2. NONEXISTENCE OF GLOBAL SOLUTIONS FOR TIME FRACTIONAL WAVE EQUATIONS IN AN EXTERIOR DOMAIN;Journal of Integral Equations and Applications;2023-03-01

3. Blow-up and lifespan estimates for solutions to the weakly coupled system of nonlinear damped wave equations outside a ball;Journal of Evolution Equations;2023-02-28

4. Finite Time Blow-Up for Wave Equations with Strong Damping in an Exterior Domain;Mediterranean Journal of Mathematics;2020-10-19

5. On the existence and nonexistence of global solutions for certain semilinear exterior problems with nontrivial Robin boundary conditions;J DIFFER EQUATIONS;2020