LOCAL BOUNDEDNESS OF WEAK SOLUTIONS FOR SINGULAR PARABOLIC SYSTEMS OF p-LAPLACIAN TYPE

CORINA KARIM; M. MARJONO

LOCAL BOUNDEDNESS OF WEAK SOLUTIONS FOR SINGULAR PARABOLIC SYSTEMS OF p-LAPLACIAN TYPE

Faculty of Mathematics and Natural Sciences

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

Abstract

We study the local boundedness of weak solutions for evolutional p-Laplacian systems in the singular case. The initial data is belonging to Lebesgue space L^∞(0, T; W ⁽¹^,p)(Ω, Rⁿ)). We use intrinsic scaling method to treat the boundedness of weak solutions. The main result is to make the local boundedness of weak solution for the systems well-worked in the intrinsic scaling.

Original language	English
Pages (from-to)	1-5
Number of pages	5
Journal	Australian Journal of Mathematical Analysis and Applications
Volume	15
Issue number	2
Publication status	Published - 2018

Keywords

Intrinsic scaling
Primary 35D30
Secondary 35B65, 35K67
Singular parabolic systems
Weak solutions

Cite this

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title = "LOCAL BOUNDEDNESS OF WEAK SOLUTIONS FOR SINGULAR PARABOLIC SYSTEMS OF p-LAPLACIAN TYPE",

abstract = "We study the local boundedness of weak solutions for evolutional p-Laplacian systems in the singular case. The initial data is belonging to Lebesgue space L∞(0, T; W (1,p)(Ω, Rn)). We use intrinsic scaling method to treat the boundedness of weak solutions. The main result is to make the local boundedness of weak solution for the systems well-worked in the intrinsic scaling.",

keywords = "Intrinsic scaling, Primary 35D30, Secondary 35B65, 35K67, Singular parabolic systems, Weak solutions",

author = "CORINA KARIM and M. MARJONO",

year = "2018",

language = "English",

volume = "15",

pages = "1--5",

journal = "Australian Journal of Mathematical Analysis and Applications",

issn = "1449-5910",

publisher = "Austral Internet Publishing",

number = "2",

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T1 - LOCAL BOUNDEDNESS OF WEAK SOLUTIONS FOR SINGULAR PARABOLIC SYSTEMS OF p-LAPLACIAN TYPE

AU - KARIM, CORINA

AU - MARJONO, M.

PY - 2018

Y1 - 2018

N2 - We study the local boundedness of weak solutions for evolutional p-Laplacian systems in the singular case. The initial data is belonging to Lebesgue space L∞(0, T; W (1,p)(Ω, Rn)). We use intrinsic scaling method to treat the boundedness of weak solutions. The main result is to make the local boundedness of weak solution for the systems well-worked in the intrinsic scaling.

AB - We study the local boundedness of weak solutions for evolutional p-Laplacian systems in the singular case. The initial data is belonging to Lebesgue space L∞(0, T; W (1,p)(Ω, Rn)). We use intrinsic scaling method to treat the boundedness of weak solutions. The main result is to make the local boundedness of weak solution for the systems well-worked in the intrinsic scaling.

KW - Intrinsic scaling

KW - Primary 35D30

KW - Secondary 35B65, 35K67

KW - Singular parabolic systems

KW - Weak solutions

UR - https://www.scopus.com/pages/publications/85077749705

M3 - Article

AN - SCOPUS:85077749705

SN - 1449-5910

VL - 15

SP - 1

EP - 5

JO - Australian Journal of Mathematical Analysis and Applications

JF - Australian Journal of Mathematical Analysis and Applications

IS - 2

ER -

LOCAL BOUNDEDNESS OF WEAK SOLUTIONS FOR SINGULAR PARABOLIC SYSTEMS OF p-LAPLACIAN TYPE

Abstract

Keywords

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