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

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.

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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://dx.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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