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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
Weighted Hardy–Sobolev inequality and global existence result of thermoelastic system on manifolds with corner-edge singularities
Type
JournalPaper
Keywords
Singular Hyperbolic Equations, Corner-Edge Degenerate, Weighted Corner-Edge Hardy Inequality, Corner- Edge Sobolev Spaces
Year
2022
Journal MATHEMATICAL METHODS IN THE APPLIED SCIENCES
DOI
Researchers Morteza Koozehgar Kalleji

Abstract

This article concerns with the thermoelastic corner-edge type system with singular potential function on a wedge manifold with corner singularities. First, we introduce weighted $p-$Sobolev spaces on manifolds with corner-edge singularities. Then, we prove the corner-edge type Sobolev inequality , Poincar$\acute{e}$ inequality and Hardy inequality and obtain some results about the compactness of embedding maps on the weighted corner-edge Sobolev spaces. Finally, as an application of these results, we apply the potential well theory and the Faedo-Galerkin approximations to obtain the global weak solutions for the thermoelastic corner-edge type system \ref{1.1}.