Partial regularity for parabolic systems with non-standard growth

Duzaar F, Habermann J (2012)


Publication Type: Journal article

Publication year: 2012

Journal

Publisher: Springer Verlag (Germany)

Book Volume: 12

Pages Range: 203-244

Journal Issue: 1

DOI: 10.1007/s00028-011-0130-2

Abstract

We study non-linear parabolic systems with non-standard p(z)-growth conditions and establish that the gradient of weak solutions is locally Holder continuous with Hlder exponent beta is an element of (0, 1) with respect to the parabolic metric on an open set of full Lebesgue measure, provided the exponent function p(z) itself is Hlder continuous with exponent beta with respect to the parabolic metric.

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How to cite

APA:

Duzaar, F., & Habermann, J. (2012). Partial regularity for parabolic systems with non-standard growth. Journal of Evolution Equations, 12(1), 203-244. https://dx.doi.org/10.1007/s00028-011-0130-2

MLA:

Duzaar, Frank, and Jens Habermann. "Partial regularity for parabolic systems with non-standard growth." Journal of Evolution Equations 12.1 (2012): 203-244.

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