The Dirichlet Problem for the Porous Medium Equation in Bounded Domains. Asymptotic Behavior
β Scribed by Juan Luis Vazquez
- Publisher
- Springer Vienna
- Year
- 2004
- Tongue
- English
- Weight
- 207 KB
- Volume
- 142
- Category
- Article
- ISSN
- 0026-9255
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## Abstract The Dirichlet problems for the Stokes resolvent equations are studied from the point of view of the theory of hydrodynamic potentials. Existence and uniqueness results as well as boundary integral representations of classical solutions are given for domains having compact but not connec
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