Sobolev space theory of parabolic equations degenerating on the boundary of C1 domains

Kyeong Hun Kim

doi:10.1080/03605300600910449

Sobolev space theory of parabolic equations degenerating on the boundary of C1 domains

Kyeong Hun Kim^*

^*Corresponding author for this work

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

14 Citations (Scopus)

Abstract

Second-order parabolic equations degenerating on the boundary of C1 domains are considered. Existence and uniqueness results are given in weighted Sobolev spaces, and Hlder estimates of the solutions are presented.

Original language	English
Pages (from-to)	1261-1280
Number of pages	20
Journal	Communications in Partial Differential Equations
Volume	32
Issue number	8
DOIs	https://doi.org/10.1080/03605300600910449
Publication status	Published - 2007 Aug

Keywords

C domains
Degenerate parabolic equations
Sobolev spaces with weights

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1080/03605300600910449

Cite this

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title = "Sobolev space theory of parabolic equations degenerating on the boundary of C1 domains",

abstract = "Second-order parabolic equations degenerating on the boundary of C1 domains are considered. Existence and uniqueness results are given in weighted Sobolev spaces, and Hlder estimates of the solutions are presented.",

keywords = "C domains, Degenerate parabolic equations, Sobolev spaces with weights",

author = "Kim, \{Kyeong Hun\}",

year = "2007",

month = aug,

doi = "10.1080/03605300600910449",

language = "English",

volume = "32",

pages = "1261--1280",

journal = "Communications in Partial Differential Equations",

issn = "0360-5302",

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AU - Kim, Kyeong Hun

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N2 - Second-order parabolic equations degenerating on the boundary of C1 domains are considered. Existence and uniqueness results are given in weighted Sobolev spaces, and Hlder estimates of the solutions are presented.

AB - Second-order parabolic equations degenerating on the boundary of C1 domains are considered. Existence and uniqueness results are given in weighted Sobolev spaces, and Hlder estimates of the solutions are presented.

KW - C domains

KW - Degenerate parabolic equations

KW - Sobolev spaces with weights

UR - https://www.scopus.com/pages/publications/34548317023

U2 - 10.1080/03605300600910449

DO - 10.1080/03605300600910449

M3 - Article

AN - SCOPUS:34548317023

SN - 0360-5302

VL - 32

SP - 1261

EP - 1280

JO - Communications in Partial Differential Equations

JF - Communications in Partial Differential Equations

IS - 8

ER -

Sobolev space theory of parabolic equations degenerating on the boundary of C1 domains

Abstract

Keywords

ASJC Scopus subject areas

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