Global results for semilinear hyperbolic equations with damping term on manifolds with conical singularity

Author:

Alimohammady Mohsen1,Koozehgar Kalleji Morteza2,Karamali Gholamreza3

Affiliation:

1. Faculty of Mathematical Sciences, Department of Mathematics; University of Mazandaran; Babolsar 47416-1468 Iran

2. Department of Mathematics, Faculty of Science; Arak University; Arak 38156-8-8349 Iran

3. Academic member of School of Mathematics; Shahid Sattari Aeronautical University of Science and Technology; South Mehrabad Tehran Iran

Funder

Mazandaran University of Medical Sciences

Publisher

Wiley

Subject

General Engineering,General Mathematics

Reference25 articles.

1. Instability and non-existence of global solutions to nonlinear wave equations of the form Putt=−Au+F(u);Levine;Trans American Mathematical Society,1974

2. On global solutions of nonlinear hyperbolic equations;Sattinger;Archive for Rational Mechanics and Analysis,1975

3. Blow-up of soluition of Cauchy problem for three-dimensional damped nonlinear hyperbolic equation;Chen;Nonlinear Analysis,2009

4. Global existence and nonexistence for semilinear parabolic equations with conical degeneration;Chen;Journal of Pseudo-Differential Operators and Applapplications,2012

5. Global existence, asymptotic behavior and blow-up solutions for a class of nonlinear wave equations with dissipative term;Yang;Journal of Differential Equations,2003

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