We study the Dirichlet problem for the parabolic equation u t = u m m > 0, in a bounded, non-cylindrical and non-smooth domain ⊂ N+1 N ≥ 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
On the Dirichlet problem for reaction–diffusion equations in non-smooth domains
✍ Scribed by U.G. Abdulla
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 484 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract In this paper we develope a perturbation theory for second order parabolic operators in non‐divergence form. In particular we study the solvability of the Dirichlet problem in non cylindrical domains with __L^p^__ ‐data on the parabolic boundary (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA,
## Abstract We study the well‐posedness of the half‐Dirichlet and Poisson problems for Dirac operators in three‐dimensional Lipschitz domains, with a special emphasis on optimal Lebesgue and Sobolev‐Besov estimates. As an application, an elliptization procedure for the Maxwell system is devised. Co