Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9501843 | Journal of Differential Equations | 2005 | 37 Pages |
Abstract
In this paper, we are concerned with certain natural Sobolev-type estimates for weak solutions of inhomogeneous problems for second-order parabolic equations in divergence form. The geometric setting is that of time-independent cylinders having a space intersection assumed to be locally given by graphs with small Lipschitz coefficients, the constants of the operator being uniformly parabolic. We prove the relevant Lp estimates, assuming that the coefficients are in parabolic bounded mean oscillation (BMO) and that their parabolic BMO semi-norms are small enough.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Sun-Sig Byun,