Refined blow-up asymptotics for a perturbed nonlinear heat equation with a gradient and a non-local term
We consider in this paper a perturbation of the standard semilinear heat equation by a term involving the space derivative and a non-local term. In some earlier works [1,2], we constructed a solution u for that equation such that u and ∇u both blow up at the origin and only there. We also gave the f...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Academic Press Inc.
2022
|
| Subjects: | |
| Online Access: | View Fulltext in Publisher |
| Summary: | We consider in this paper a perturbation of the standard semilinear heat equation by a term involving the space derivative and a non-local term. In some earlier works [1,2], we constructed a solution u for that equation such that u and ∇u both blow up at the origin and only there. We also gave the final blow-up profile. In this paper, we refine our construction method in order to get a sharper estimate on the gradient at blow-up. © 2022 Elsevier Inc. |
|---|---|
| ISBN: | 0022247X (ISSN) |
| DOI: | 10.1016/j.jmaa.2022.126447 |