Gradient higher integrability for singular parabolic double-phase systems

Wontae Kim; Lauri Särkiö

doi:10.1007/s00030-024-00928-5

Gradient higher integrability for singular parabolic double-phase systems

Wontae Kim
, Lauri Särkiö^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › Scientific › peer-review

9 Citations (Scopus)

26 Downloads (Pure)

Abstract

We prove a local higher integrability result for the gradient of a weak solution to parabolic double-phase systems of p-Laplace type when 2nn+2<p≤2. The result is based on a reverse Hölder inequality in intrinsic cylinders combining p-intrinsic and (p, q)-intrinsic geometries. A singular scaling deficits affects the range of q.

Original language	English
Article number	40
Pages (from-to)	1-38
Number of pages	38
Journal	Nonlinear Differential Equations and Applications
Volume	31
Issue number	3
DOIs	https://doi.org/10.1007/s00030-024-00928-5
Publication status	Published - May 2024
MoE publication type	A1 Journal article-refereed

Keywords

35D30
35K55
35K65
Gradient estimates
Parabolic double-phase systems
Parabolic p-Laplace systems

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10.1007/s00030-024-00928-5Licence: CC BY

Gradient higher integrability for singular parabolic double-phase systemsFinal published version, 573 KBLicence: CC BY

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title = "Gradient higher integrability for singular parabolic double-phase systems",

abstract = "We prove a local higher integrability result for the gradient of a weak solution to parabolic double-phase systems of p-Laplace type when 2nn+2",

keywords = "35D30, 35K55, 35K65, Gradient estimates, Parabolic double-phase systems, Parabolic p-Laplace systems",

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N2 - We prove a local higher integrability result for the gradient of a weak solution to parabolic double-phase systems of p-Laplace type when 2nn+2

AB - We prove a local higher integrability result for the gradient of a weak solution to parabolic double-phase systems of p-Laplace type when 2nn+2

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KW - Parabolic p-Laplace systems

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Gradient higher integrability for singular parabolic double-phase systems

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Keywords

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