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Higher integrability for singular doubly nonlinear systems

Kristian Moring1, Leah Schätzler2, Christoph Scheven1

  • 1Fakultät für Mathematik, Universität Duisburg-Essen, Thea-Leymann-Str. 9, 45127 Essen, Germany.

Annali Di Matematica Pura Ed Applicata
|September 16, 2024
PubMed
Summary

This study proves a local higher integrability result for spatial gradients of weak solutions to doubly nonlinear parabolic systems. An intrinsic geometry considering both the solution and its gradient is key.

Keywords:
Doubly nonlinear systemsGradient estimateHigher integrabilityReverse Hölder inequality

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