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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
