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Mohsen Alimohammady

Academic rank: Professor
ORCID:
Education: PhD.
ScopusId:
Faculty: Faculty of Mathematical Sciences
Address:
Phone: 011-35302462

Research

Title
Existence result for a class of semilinear totally characteristic hypoelliptic equations with conical degeneration
Type
JournalPaper
Keywords
semilinear totally characteristic
Year
2013
Journal Journal of Functional Analysis
DOI
Researchers Mohsen Alimohammady ، Morteza Koozehgar

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 H 2, 0 1, n 2 (B). Finally, we obtain existence result of global solutions with exponential decay and show the blow-up in finite time of solutions.