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On a nonlinear hyperbolic equation with anisotropy: Global existence and decay of solution

  • Published:2009-04 Issue:7 Volume:70 Page:2816-2823
  • ISSN:0362-546X
  • Container-title:Nonlinear Analysis: Theory, Methods & Applications
  • language:en
  • Short-container-title:Nonlinear Analysis: Theory, Methods & Applications

Author:

Sango M.

Funder

National Research Foundation

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference27 articles.

1. On a nonlinear evolution equation and its applications;Biazutti;Nonlinear Anal. TMA,1995

2. Global solutions for a nonlinear wave equation with the p-Laplacian operator;Gao;EJQTDE,1999

3. On the existence, uniqueness and stability of solutions of equations σ′(ux)uxx+λuxtx=ρ0utt;Greenberg;J. Math. Mech.,1968

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

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1. Long time behaviour for solutions to a particular wave equation;ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik;2023-05-02

2. Blow-up phenomenon for a nonlinear wave equation with anisotropy and a source term;Applicable Analysis;2018-07-29

3. Global existence, decay and blow up solutions for coupled nonlinear wave equations with damping and source terms;Turkish Journal of Mathematics;2013-01-01

4. Existence and blow up for a nonlinear hyperbolic equation with anisotropy;Applied Mathematics Letters;2012-10

5. On a viscoelastic plate equation with history setting and perturbation of p-Laplacian type;IMA Journal of Applied Mathematics;2012-04-25
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