2024 : 6 : 25
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
Invariance and existence analysis for semilinear hyperbolic equations with damping and conical singularity
Type
JournalPaper
Keywords
Semilinear hyperbolic equation; Potential wells; Cone Sobolev spaces; Partial differential operator
Year
2017
Journal journal of mathematical analysis and applications
DOI
Researchers mohsen Alimohammady ، carlo cattani ، Morteza Koozehgar Kalleji

Abstract

In this paper, we will discuss about the invariance of solution set and present the existence and non-existence of the global solutions a class of initial-boundary value problems with dissipative terms is considered for a class of semilinear degenerate hyperbolic equations on the cone Sobolev spaces. First, we will discuss the invariance of some sets corresponding to the problem (1.1) and then, by using a family of potential wells and concavity methods, we obtain existence and non-existence results of global solutions with exponential decay and show the blow-up in finite time of solutions on a manifold with conical singularities.