Hölder-estimates for non-autonomous parabolic problems with rough data

Meinlschmidt H, Rehberg J (2016)

Publication Type: Journal article

Publication year: 2016

Journal

Evolution Equations and Control Theory American Institute of Mathematical Sciences (AIMS)

Book Volume: 5

Pages Range: 147-184

Journal Issue: 1

DOI: 10.3934/eect.2016.5.147

Abstract

In this paper we establish Hölder estimates for solutions to nonautonomous parabolic equations on non-smooth domains which are complemented with mixed boundary conditions. The corresponding elliptic operators are of divergence type, the coeficient matrix of which depends only measurably on time. These results are in the tradition of the classical book of Ladyshenskaya et al. [40], which also serves as the starting point for our investigations.

Authors with CRIS profile

Hannes Meinlschmidt

Involved external institutions

Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS) - Leibniz-Institut im Forschungsverbund Berlin e. V. DE Germany (DE) Technische Universität Darmstadt DE Germany (DE)

How to cite

APA:

Meinlschmidt, H., & Rehberg, J. (2016). Hölder-estimates for non-autonomous parabolic problems with rough data. Evolution Equations and Control Theory, 5(1), 147-184. https://dx.doi.org/10.3934/eect.2016.5.147

MLA:

Meinlschmidt, Hannes, and Joachim Rehberg. "Hölder-estimates for non-autonomous parabolic problems with rough data." Evolution Equations and Control Theory 5.1 (2016): 147-184.

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