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Morteza Koozehgar Kalleji

Morteza Koozehgar Kalleji

Academic rank: Assistant Professor
ORCID: https://orcid.org/0000-0002-7052-7241
Education: PhD.
ScopusId: 55803631900
Faculty: Science
Address: Arak University
Phone:

Research

Title
Global results for semilinear hyperbolic equations with damping term on manifolds with conical singularity
Type
JournalPaper
Keywords
semilinear hyperbolic equation; potential wells; cone Sobolev spaces; partial differential operator
Year
2017
Journal MATHEMATICAL METHODS IN THE APPLIED SCIENCES
DOI
Researchers mohsen Alimohammady ، Morteza Koozehgar Kalleji ، Gholamreza 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.