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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 theorem and global solution for semilinear edge-degenerate hypoelliptic equations
Type
JournalPaper
Keywords
degenerate hypoelliptic equations
Year
2017
Journal Journal of Pseudo-Differential Operators and Applications
DOI
Researchers A.A. Jafari ، Mohsen Alimohammady

Abstract

In this article, we use the edge-type of Sobolev inequality,Hardy inequlity and 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 H1,N22,0(E).H2,01,N2(E). Finally, we obtain existence result of global solutions with exponential decay and show the blow-up in finite time of solutions.