Existence and uniqueness of weak solutions to parabolic problems with nonstandard growth and cross diffusion
We establish the existence and uniqueness of weak solutions to the parabolic system with nonstandard growth condition and cross diffusion, $$\displaylines{ \partial_tu-\text{div}a(x,t,\nabla u)) =\text{div}|F|^{p(x,t)-2}F),\cr \partial_tv-\text{div}a(x,t,\nabla v))=\delta\Delta u, }$$ where...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2020-12-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2020/123/abstr.html |