Regularity of BMO weak solutions to nonlinear parabolic systems via homotopy

Le, Dung

doi:10.1090/S0002-9947-2012-05720-5

Regularity of BMO weak solutions to nonlinear parabolic systems via homotopy
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Trans. Amer. Math. Soc. 365 (2013), 2723-2753 Request permission

Abstract:

This paper introduces a new technique, using the so-called nonlinear heat approximation and BMO preserving homotopy, to investigate regularity properties of BMO weak solutions of strongly coupled nonlinear parabolic systems consisting of more than one equation defined on a domain of any dimension.

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