Higher integrability for singular doubly nonlinear systems.

Ann Mat Pura Appl

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

Published: April 2024

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Article Abstract

We prove a local higher integrability result for the spatial gradient of weak solutions to doubly nonlinear parabolic systems whose prototype is with parameters and and . In this paper, we are concerned with the ranges and . A key ingredient in the proof is an intrinsic geometry that takes both the solution and its spatial gradient into account.

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http://www.ncbi.nlm.nih.gov/pmc/articles/PMC11393213PMC
http://dx.doi.org/10.1007/s10231-024-01443-1DOI Listing

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