Asymptotic behavior of solutions to parabolic problems with nonlinear nonlocal terms
We study the existence and asymptotic behavior of self-similar solutions to the parabolic problem $$ u_t-\Delta u=\int_0^t k(t,s)|u|^{p-1}u(s)ds\quad\hbox{on } (0,\infty)\times \mathbb{R}^N, $$ with p>1 and $u(0,\cdot) \in C_0(\mathbb{R}^N)$.
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2013-10-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2013/228/abstr.html |