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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
Existence result for a class of semilinear totally characteristic hypoelliptic equations with conical degeneration
Type
JournalPaper
Keywords
Semilinear equations; Totally characteristic degeneracy; Global solution; Blow-up
Year
2013
Journal Journal of functional analysis
DOI
Researchers mohsen Alimohammady ، Morteza Koozehgar Kalleji

Abstract

In this article, we use the cone Sobolev inequality and the Poincaré inequality to prove the existence theorem for a class of semilinear degenerate hypoelliptic equation on manifolds with conical singularities .In this paper we shall find the existence theorem for the problem (1.1) in cone Sobolev space .Finally, we obtain existence result of global solutions with exponential decay and show the blow-up in finite time of solutions