Lipschitz truncation method for parabolic double-phase systems and applications

Wontae Kim; Juha Kinnunen; Lauri Särkiö

doi:10.1016/j.jfa.2024.110738

Lipschitz truncation method for parabolic double-phase systems and applications

Wontae Kim, Juha Kinnunen^*, Lauri Särkiö

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Tutkimustuotos: Lehtiartikkeli › Article › Scientific › vertaisarvioitu

3 Sitaatiot (Scopus)

11 Lataukset (Pure)

Abstrakti

We discuss a Lipschitz truncation technique for parabolic double-phase problems of p-Laplace type in order to prove energy estimates and uniqueness results for the Dirichlet problem. Moreover, we show existence for a non-homogeneous double-phase problem. The Lipschitz truncation method is based on a Whitney-type covering result and a related partition of unity in the intrinsic geometry for the double-phase problem.

Alkuperäiskieli	Englanti
Artikkeli	110738
Julkaisu	Journal of Functional Analysis
Vuosikerta	288
Numero	3
Varhainen verkossa julkaisun päivämäärä	14 marrask. 2024
DOI - pysyväislinkit	https://doi.org/10.1016/j.jfa.2024.110738
Tila	Julkaistu - 1 helmik. 2025
OKM-julkaisutyyppi	A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

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10.1016/j.jfa.2024.110738Lisenssi: CC BY

SCI_Kim_etal_Journal_of_Functional_Analysis_2024Final published version, 747 KBLisenssi: CC BY

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title = "Lipschitz truncation method for parabolic double-phase systems and applications",

abstract = "We discuss a Lipschitz truncation technique for parabolic double-phase problems of p-Laplace type in order to prove energy estimates and uniqueness results for the Dirichlet problem. Moreover, we show existence for a non-homogeneous double-phase problem. The Lipschitz truncation method is based on a Whitney-type covering result and a related partition of unity in the intrinsic geometry for the double-phase problem.",

keywords = "Existence theory, Lipschitz truncation method, Parabolic double-phase systems",

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

note = "Publisher Copyright: {\textcopyright} 2024 The Authors",

year = "2025",

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doi = "10.1016/j.jfa.2024.110738",

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T1 - Lipschitz truncation method for parabolic double-phase systems and applications

AU - Kim, Wontae

AU - Kinnunen, Juha

AU - Särkiö, Lauri

PY - 2025/2/1

Y1 - 2025/2/1

N2 - We discuss a Lipschitz truncation technique for parabolic double-phase problems of p-Laplace type in order to prove energy estimates and uniqueness results for the Dirichlet problem. Moreover, we show existence for a non-homogeneous double-phase problem. The Lipschitz truncation method is based on a Whitney-type covering result and a related partition of unity in the intrinsic geometry for the double-phase problem.

AB - We discuss a Lipschitz truncation technique for parabolic double-phase problems of p-Laplace type in order to prove energy estimates and uniqueness results for the Dirichlet problem. Moreover, we show existence for a non-homogeneous double-phase problem. The Lipschitz truncation method is based on a Whitney-type covering result and a related partition of unity in the intrinsic geometry for the double-phase problem.

KW - Existence theory

KW - Lipschitz truncation method

KW - Parabolic double-phase systems

UR - http://www.scopus.com/inward/record.url?scp=85208977513&partnerID=8YFLogxK

U2 - 10.1016/j.jfa.2024.110738

DO - 10.1016/j.jfa.2024.110738

M3 - Article

AN - SCOPUS:85208977513

SN - 0022-1236

VL - 288

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 3

M1 - 110738

ER -

Lipschitz truncation method for parabolic double-phase systems and applications

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