Regularity of weak solutions for nonlinear parabolic problem with $p(x)$-growth
In this paper, we study the nonlinear parabolic problem with $p(x)$-growth conditions in the space $W^{1,x}L^{p(x)}(Q)$, and give a regularity theorem of weak solutions for the following equation $$\frac{\partial u}{\partial t}+A(u)=0$$ where $A(u)=-\mbox{div} a(x,t,u,\nabla u)+a_0(x,t,u,\nabla u)$...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
2012-01-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1126 |