Higher integrability for doubly nonlinear parabolic systems

Bögelein V, Duzaar F, Kinnunen J, Scheven C (2020)

Publication Language: English

Publication Status: In review

Publication Type: Journal article

Future Publication Type: Journal article

Publication year: 2020

Journal

Journal De Mathematiques Pures Et Appliquees Elsevier

Book Volume: 9

Pages Range: 31–72

Journal Issue: 143

URI: https://arxiv.org/abs/1810.06039

DOI: 10.1016/j.matpur.2020.06.009

Abstract

Abstract: This paper proves a local higher integrability result for the spatial gradient of weak solutions to doubly nonlinear parabolic systems. The new feature of the argument is that the intrinsic geometry involves the solution as well as its spatial gradient. The main result holds true for a range of parameters suggested by other nonlinear parabolic systems.

Authors with CRIS profile

Verena Anna Maria Bögelein
Frank Duzaar Lehrstuhl für Partial Differential Equations

Involved external institutions

Aalto University Espoo FI Finland (FI) Universität Salzburg (Paris Lodron Universität Salzburg) AT Austria (AT) Universität Duisburg-Essen (UDE) DE Germany (DE)

How to cite

APA:

Bögelein, V., Duzaar, F., Kinnunen, J., & Scheven, C. (2020). Higher integrability for doubly nonlinear parabolic systems. Journal De Mathematiques Pures Et Appliquees, 9(143), 31–72. https://doi.org/10.1016/j.matpur.2020.06.009

MLA:

Bögelein, Verena, et al. "Higher integrability for doubly nonlinear parabolic systems." Journal De Mathematiques Pures Et Appliquees 9.143 (2020): 31–72.

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