March 29, 2023

Mohsen Alimohammady

Degree: Professor
Education: Ph.D in Mathematics
Phone: 011-35302462
Faculty: Faculty of Mathematical Sciences


Title Existence theorem and global solution for semilinear edge-degenerate hypoelliptic equations
Type Article
degenerate hypoelliptic equations
Journal Journal of Pseudo-Differential Operators and Applications
DOI 10.1007/s11868-016-0185-5
Researchers A.A. Jafari (First researcher) , Mohsen Alimohammady (Second researcher)


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.