Semigroup approach to a doubly degenerate parabolic equation

Yifu Wang; Jingxue Yin

doi:10.1007/bf02720486

Semigroup approach to a doubly degenerate parabolic equation

Yifu Wang^*, Jingxue Yin

^*Corresponding author for this work

School of Mathematics and Statistics

Jilin University

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

Abstract

Basing on the L¹-type estimates, we present a semigroup approach to the initial value problem for a doubly nonlinear degenerate parabolic equation, arising from some physical backgrounds. The relation between the corresponding ω-limit set and equilibrium set is also discussed.

Original language	English
Pages (from-to)	113-125
Number of pages	13
Journal	Acta Mathematicae Applicatae Sinica
Volume	15
Issue number	2
DOIs	https://doi.org/10.1007/bf02720486
Publication status	Published - 1999

Keywords

Degenerate parabolic equation
Semigroup approach
ω-limit set

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10.1007/bf02720486

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title = "Semigroup approach to a doubly degenerate parabolic equation",

abstract = "Basing on the L1-type estimates, we present a semigroup approach to the initial value problem for a doubly nonlinear degenerate parabolic equation, arising from some physical backgrounds. The relation between the corresponding ω-limit set and equilibrium set is also discussed.",

keywords = "Degenerate parabolic equation, Semigroup approach, ω-limit set",

author = "Yifu Wang and Jingxue Yin",

year = "1999",

doi = "10.1007/bf02720486",

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pages = "113--125",

journal = "Acta Mathematicae Applicatae Sinica",

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T1 - Semigroup approach to a doubly degenerate parabolic equation

AU - Wang, Yifu

AU - Yin, Jingxue

PY - 1999

Y1 - 1999

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AB - Basing on the L1-type estimates, we present a semigroup approach to the initial value problem for a doubly nonlinear degenerate parabolic equation, arising from some physical backgrounds. The relation between the corresponding ω-limit set and equilibrium set is also discussed.

KW - Degenerate parabolic equation

KW - Semigroup approach

KW - ω-limit set

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U2 - 10.1007/bf02720486

DO - 10.1007/bf02720486

M3 - Article

AN - SCOPUS:53149127334

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VL - 15

SP - 113

EP - 125

JO - Acta Mathematicae Applicatae Sinica

JF - Acta Mathematicae Applicatae Sinica

IS - 2

ER -

Semigroup approach to a doubly degenerate parabolic equation

Abstract

Keywords

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