Existence and blow-up of solutions in Hénon-type heat equation with exponential nonlinearity
| Autor: | Gao Dongmei, Wang Jun, Wang Xuan |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Advances in Nonlinear Analysis, Vol 12, Iss 1, Pp 33-76 (2023) |
| Druh dokumentu: | article |
| ISSN: | 2191-950X |
| DOI: | 10.1515/anona-2022-0290 |
| Popis: | In the present article, we are concerned with the following problem: vt=Δv+∣x∣βev,x∈RN,t>0,v(x,0)=v0(x),x∈RN,\left\{\phantom{\rule[-1.25em]{}{0ex}}\begin{array}{ll}{v}_{t}=\Delta v+| x{| }^{\beta }{e}^{v},\hspace{1.0em}& x\in {{\mathbb{R}}}^{N},\hspace{0.33em}t\gt 0,\\ v\left(x,0)={v}_{0}\left(x),\hspace{1.0em}& x\in {{\mathbb{R}}}^{N},\end{array}\right. where N≥3N\ge 3, 0 |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
|