| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4604588 | Annales de l'Institut Henri Poincare (C) Non Linear Analysis | 2010 | 24 Pages |
Abstract
We consider the semilinear parabolic equation ut−Δu=|u|p−1u on the whole space RN, N⩾3, where the exponent p=(N+2)/(N−2) is associated with the Sobolev imbedding H1(RN)⊂Lp+1(RN). First, we study the decay and blow-up of the solution by means of the potential-well and forward self-similar transformation. Then, we discuss blow-up in infinite time and classify the orbit.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
