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 of viscoelastic equations with nonlinear damping and source terms on corner singularity
Type
JournalPaper
Keywords
Higher-order hyperbolic viscoelastic equations; singular potential wells of higher-order hyperbolic; corner Sobolev space; corner-degenerate hypo-elliptic operator
Year
2022
Journal Complex variables and elliptic equations
DOI
Researchers Morteza Koozehgar Kalleji

Abstract

The present article is concerned with a class of corner-degenerate viscoelastic higher hyperbolic equations with nonlinear damping and boundary source terms. First, we prove some invariance results about the energy functional and the solution set of our problem by using potential wells methods on the manifolds with corner singularity. Then, we establish existence results of global weak solution on the corner Sobolev space with the suitable weight data and appropriate assumptions on the initial-boundary data.