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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
Vacuum isolating and blow-up analysis for edge hyperbolic system on edge Sobolev spaces
Type
JournalPaper
Keywords
Semilinear hyperbolic equation, potential wells, cone Sobolev spaces, partial differential operator
Year
2020
Journal TURKISH JOURNAL OF MATHEMATICS
DOI
Researchers Morteza Koozehgar Kalleji ، Nematollah KADKHODA

Abstract

This paper deals with the study of the initial-boundary value problem of edge-hyperbolic system with damping term on the manifold with edge singularity. More precisely, it is analyzed the invariance and vacuum isolating of the solution sets to the edge-hyperbolic systems on edge Sobolev spaces. Then, by using a family of modified potential wells and concavity methods, it is obtained existence and nonexistence results of global solutions with exponential decay and is shown the blow-up in finite time of solutions on the manifold with edge singularities.