Existence, non-existence and asymptotic behavior of global solutions to the Cauchy problem for systems of semilinear hyperbolic equations with damping terms-Reference-Cited by-同舟云学术

Existence, non-existence and asymptotic behavior of global solutions to the Cauchy problem for systems of semilinear hyperbolic equations with damping terms

Published:2012-01 Issue:1 Volume:75 Page:91-102
ISSN:0362-546X
Container-title:Nonlinear Analysis: Theory, Methods & Applications
language:en
Short-container-title:Nonlinear Analysis: Theory, Methods & Applications

Author:

Aliev Akbar B.,Kazimov Anar A.

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference23 articles.

1. Breakdown of solutions to □u+ut=|u|1+α;Li;Discrete Contin. Dyn. Syst.,1995

2. A blow-up result for a nonlinear wave equation with damping;Zhag;C. R. Acad. Sci. Paris, Serie I,2001

3. Decay estimates of solutions of dissipative wave equations in Rn with lower power nonlinearities;Ikehata;J. Math. Soc. Japan,2004

4. On the asymptotic behavior of solution of semi linear wave equation;Matsumura;Publ. RiMS, Kyoto Univ.,1976

5. Damped wave equation with a critical nonlinearity;Hayashi;Trans. Amer. Math. Soc.,2005

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