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Parabolic equations with BMO nonlinearity in Reifenberg domains
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Sun-Sig Byun
and
Lihe Wang
Published/Copyright:
March 12, 2008
Abstract
We obtain the classical global Lp, 2 ≦ p < ∞, estimate for the spatial gradient of the weak solutions for a class of parabolic problems in a very general irregular domain whose model is a nonlinear parabolic equation in divergence form. We treat discontinuous nonlinearity of BMO type and δ-Reifenberg flat domains. These domains might have fractal boundaries.
Received: 2006-09-15
Published Online: 2008-03-12
Published in Print: 2008-02-01
© Walter de Gruyter
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Articles in the same Issue
- Parabolic equations with BMO nonlinearity in Reifenberg domains
- Castelnuovo theory and the geometric Schottky problem
- Cohomology of rational forms and a vanishing theorem on toric varieties
- On the asymptotic expansion of complete Ricciflat Kähler metrics on quasi-projective manifolds
-
The Chow ring of
- Explicit n-descent on elliptic curves, I. Algebra
- On the Lp-Lq maximal regularity of the Neumann problem for the Stokes equations in a bounded domain
- Parameterized stratification and piece number of D-semianalytic sets
