Weak solutions for parabolic equations with p(x)-growth
In this article we study nonlinear parabolic equations with p(x)-growth in the space $W^{1,x}L^{p(x)}(Q)\cap L^\infty(0,T; L^2(\Omega))$. By using the method of parabolic regularization, we prove the existence and uniqueness of weak solutions for the equation $$ \frac{\partial u}{\partial t}=\...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2016-08-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2016/209/abstr.html |