Poincare inequality and Campanato estimates for weak solutions of parabolic equations
We shall show that the Poincare type inequality holds for the weak solution of a parabolic equation. The key is to control the $L^p$ norm of the first derivative of the weak solution with respect to the time variable. The inequality is necessary to get an estimate in the Campanato space $\mathc...
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| Format: | Article |
| Language: | English |
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Texas State University
2016-07-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2016/204/abstr.html |