On the Dirichlet Problem for the Nonline
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Ugur G Abdulla
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Article
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2001
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Elsevier Science
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English
β 154 KB
We study the Dirichlet problem for the parabolic equation u t = u m m > 0, in a bounded, non-cylindrical and non-smooth domain β N+1 N β₯ 2. Existence and boundary regularity results are established. We introduce a notion of parabolic modulus of left-lower (or left-upper) semicontinuity at the points