L p -theory of parabolic SPDEs degenerating on the boundary of C 1 domains

Kyeong Hun Kim

doi:10.1007/s10959-007-0098-6

L _p -theory of parabolic SPDEs degenerating on the boundary of C ¹ domains

Kyeong Hun Kim

Department of Mathematics

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

1 Citation (Scopus)

Abstract

Degenerate stochastic partial differential equations are considered in C ¹ domains. Existence and uniqueness results are given in weighted Sobolev spaces, and Hölder estimates of the solutions are presented.

Original language	English
Pages (from-to)	169-192
Number of pages	24
Journal	Journal of Theoretical Probability
Volume	21
Issue number	1
DOIs	https://doi.org/10.1007/s10959-007-0098-6
Publication status	Published - 2008 Mar

Keywords

SPDEs degenerating on the boundary
Weighted Sobolev spaces

ASJC Scopus subject areas

Statistics and Probability
Mathematics(all)
Statistics, Probability and Uncertainty

Access to Document

10.1007/s10959-007-0098-6

Cite this

@article{3c7ce0c940d14e618d81fb10227abb34,

title = "L p -theory of parabolic SPDEs degenerating on the boundary of C 1 domains",

abstract = "Degenerate stochastic partial differential equations are considered in C 1 domains. Existence and uniqueness results are given in weighted Sobolev spaces, and H{\"o}lder estimates of the solutions are presented.",

keywords = "SPDEs degenerating on the boundary, Weighted Sobolev spaces",

author = "Kim, {Kyeong Hun}",

note = "Funding Information: This work was supported by a Korea University grant.",

year = "2008",

month = mar,

doi = "10.1007/s10959-007-0098-6",

language = "English",

volume = "21",

pages = "169--192",

journal = "Journal of Theoretical Probability",

issn = "0894-9840",

publisher = "Springer New York",

number = "1",

}

TY - JOUR

T1 - L p -theory of parabolic SPDEs degenerating on the boundary of C 1 domains

AU - Kim, Kyeong Hun

N1 - Funding Information: This work was supported by a Korea University grant.

PY - 2008/3

Y1 - 2008/3

N2 - Degenerate stochastic partial differential equations are considered in C 1 domains. Existence and uniqueness results are given in weighted Sobolev spaces, and Hölder estimates of the solutions are presented.

AB - Degenerate stochastic partial differential equations are considered in C 1 domains. Existence and uniqueness results are given in weighted Sobolev spaces, and Hölder estimates of the solutions are presented.

KW - SPDEs degenerating on the boundary

KW - Weighted Sobolev spaces

UR - http://www.scopus.com/inward/record.url?scp=38349172389&partnerID=8YFLogxK

U2 - 10.1007/s10959-007-0098-6

DO - 10.1007/s10959-007-0098-6

M3 - Article

AN - SCOPUS:38349172389

SN - 0894-9840

VL - 21

SP - 169

EP - 192

JO - Journal of Theoretical Probability

JF - Journal of Theoretical Probability

IS - 1

ER -