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Nonlinear damped wave equation: Existence and blow-up

  • Published:2017-12 Issue:12 Volume:74 Page:3024-3041
  • ISSN:0898-1221
  • Container-title:Computers & Mathematics with Applications
  • language:en
  • Short-container-title:Computers & Mathematics with Applications

Author:

Messaoudi Salim A.,Talahmeh Ala A.,Al-Smail Jamal H.

Funder

King Fahd University of Petroleum and Minerals

KFUPM

Publisher

Elsevier BV

Subject

Computational Mathematics,Computational Theory and Mathematics,Modeling and Simulation

Reference30 articles.

1. Remarks on blow-up and nonexistence theorems for nonlinear evolution equations;Ball;Q. J. Math.,1977

2. Some additional remarks on the nonexistence of global solutions to nonlinear wave equations;Levine;SIAM J. Math. Anal.,1974

3. Decay estimates for some semilinear damped hyperbolic problems;Haraux;Arch. Ration. Mech. Anal.,1988

4. Remarks on bounded solutions of a semilinear dissipative hyperbolic equation;Kopackova;Comment. Math. Univ. Carolin.,1989

5. Global nonexistence theorems for a class of evolution equations with dissipation;Vitillaro;Arch. Ration. Mech. Anal.,1999

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