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Mohsen Alimohammady

Academic rank: Professor
ORCID:
Education: PhD.
ScopusId:
Faculty: Faculty of Mathematical Sciences
Address:
Phone: 011-35302462

Research

Title
Global results for semilinear hyperbolic equations with damping term on manifolds with conical singularity
Type
JournalPaper
Keywords
hyperbolic equations
Year
2017
Journal Mathematical Methods in the Applied Sciences
DOI
Researchers Mohsen Alimohammady ، Morteza Koozehgar ، Golamreza Karamali

Abstract

In this paper, we apply the family of potential wells to the initial boundary value problem of semilinear hyperbolic equations on the cone Sobolev spaces. We not only give some results of global existence and nonexistence of solutions but also obtain the vacuum isolating of solutions. Finally, we show blow‐up in finite time of solutions on a manifold with conical singularities. Copyright © 2017 John Wiley & Sons, Ltd.