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^*

^*Tämän työn vastaava kirjoittaja

Tutkimustuotos: Lehtiartikkeli › Article › Scientific › vertaisarvioitu

9 Sitaatiot (Scopus)

25 Lataukset (Pure)

Abstrakti

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.

Alkuperäiskieli	Englanti
Artikkeli	40
Sivut	1-38
Sivumäärä	38
Julkaisu	Nonlinear Differential Equations and Applications
Vuosikerta	31
Numero	3
DOI - pysyväislinkit	https://doi.org/10.1007/s00030-024-00928-5
Tila	Julkaistu - toukok. 2024
OKM-julkaisutyyppi	A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

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

Gradient higher integrability for singular parabolic double-phase systemsFinal published version, 573 KBLisenssi: 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",

author = "Wontae Kim and Lauri S{\"a}rki{\"o}",

note = "Publisher Copyright: {\textcopyright} The Author(s) 2024.",

year = "2024",

month = may,

doi = "10.1007/s00030-024-00928-5",

language = "English",

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T1 - Gradient higher integrability for singular parabolic double-phase systems

AU - Kim, Wontae

AU - Särkiö, Lauri

N1 - Publisher Copyright: © The Author(s) 2024.

PY - 2024/5

Y1 - 2024/5

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

KW - 35D30

KW - 35K55

KW - 35K65

KW - Gradient estimates

KW - Parabolic double-phase systems

KW - Parabolic p-Laplace systems

UR - https://www.scopus.com/pages/publications/85187876266

U2 - 10.1007/s00030-024-00928-5

DO - 10.1007/s00030-024-00928-5

M3 - Article

AN - SCOPUS:85187876266

SN - 1021-9722

VL - 31

SP - 1

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JO - Nonlinear Differential Equations and Applications

JF - Nonlinear Differential Equations and Applications

IS - 3

M1 - 40

ER -

Gradient higher integrability for singular parabolic double-phase systems

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