Global attractor for reaction-diffusion equations with supercritical nonlinearity in unbounded domains
We consider the existence of global attractor for the inhomogeneous reaction-diffusion equation $$\displaylines{ u_t- \Delta u - V(x)u + |u|^{p-2}u =g, \quad \text{in } \mathbb{R}^n\times\mathbb{R}^{+},\cr u(0) = u_0\in L^2(\mathbb{R}^n)\cap L^p(\mathbb{R}^n), }$$ where $p>\frac{2n}{n-2}...
| Autori principali: | , , |
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| Natura: | Articolo |
| Lingua: | English |
| Pubblicazione: |
Texas State University
2016-03-01
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| Serie: | Electronic Journal of Differential Equations |
| Soggetti: | |
| Accesso online: | http://ejde.math.txstate.edu/Volumes/2016/63/abstr.html |