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WEIGHTED $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let \ge =\geqslant \let \geq =\geqslant \def \Pr {\mathit {Pr}}\def \Fr {\mathit {Fr}}\def \Rey {\mathit {Re}}{L}_{{P}}$ SOLVABILITY FOR PARABOLIC EQUATIONS WITH PARTIALLY BMO COEFFICIENTS AND ITS APPLICATIONS

Part of: Harmonic analysis in several variables

Published online by Cambridge University Press:  16 June 2014

LIN TANG
LIN TANG*
Affiliation:
LMAM, School of Mathematical Sciences, Peking University, Beijing, 100871, PR China email [email protected]
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Abstract

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We consider the weighted $L_p$ solvability for divergence and nondivergence form parabolic equations with partially bounded mean oscillation (BMO) coefficients and certain positive potentials. As an application, global regularity in Morrey spaces for divergence form parabolic operators with partially BMO coefficients on a bounded domain is established.

Keywords

parabolic equationBMO functionweighted Lpnonnegative potential

MSC classification

Secondary: 42B25: Maximal functions, Littlewood-Paley theory
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 96 , Issue 3 , June 2014 , pp. 396 - 428
Copyright
Copyright © 2014 Australian Mathematical Publishing Association Inc. 

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