Local Boundedness of Weak Solutions for Nonlinear Parabolic Problem with p(x)-Growth
We study the nonlinear parabolic problem with p(x)-growth conditions in the space W1,xLp(x)(Q) and give a local boundedness theorem of weak solutions for the following equation (∂u/∂t)+A(u)=0, where A(u)=−diva(x,t,u,∇u)+a0(x,t,u,∇u),a(x,t,u,&...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2010-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://dx.doi.org/10.1155/2010/163269 |