A compactness lemma of Aubin type and its application to degenerate parabolic equations
Let $\Omega\subset \mathbb{R}^{n}$ be a regular domain and $\Phi(s)\in C_{\rm loc}(\mathbb{R})$ be a given function. If $\mathfrak{M}\subset L_2(0,T;W^1_2(\Omega)) \cap L_{\infty}(\Omega\times (0,T))$ is bounded and the set $\{\partial_t\Phi(v)|\,v\in \mathfrak{M}\}$ is bounded in $L_2(0,T;W^{-...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2014-10-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2014/227/abstr.html |