Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590716 | Journal of Functional Analysis | 2013 | 26 Pages |
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 H2,01,n2(B). Finally, we obtain existence result of global solutions with exponential decay and show the blow-up in finite time of solutions.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Mohsen Alimohammady, Morteza Koozehgar Kalleji,