Global higher integrability for a doubly nonlinear parabolic system

Herán A, Rainer R (2022)

Publication Type: Journal article

Publication year: 2022

Journal

Nodea-Nonlinear Differential Equations and Applications Springer Verlag (Germany)

Book Volume: 29

Article Number: 55

Journal Issue: 5

DOI: 10.1007/s00030-022-00787-y

Abstract

In this paper we establish a higher integrability result up to the boundary of weak solutions to doubly nonlinear parabolic systems. We show that the spatial gradient of a weak solution with vanishing lateral boundary values is integrable to a larger power than the natural power p, where the statement holds for parameters in the subquadratic case max{2nn+2,1}

Authors with CRIS profile

Andreas Herán

Involved external institutions

Universität Salzburg (Paris Lodron Universität Salzburg) AT Austria (AT)

How to cite

APA:

Herán, A., & Rainer, R. (2022). Global higher integrability for a doubly nonlinear parabolic system. Nodea-Nonlinear Differential Equations and Applications, 29(5). https://doi.org/10.1007/s00030-022-00787-y

MLA:

Herán, Andreas, and Rudolf Rainer. "Global higher integrability for a doubly nonlinear parabolic system." Nodea-Nonlinear Differential Equations and Applications 29.5 (2022).

BibTeX: Download