On Lp-theory of stochastic partial differential equations of divergence form in C1 domains

Kyeong Hun Kim

doi:10.1007/s00440-004-0368-5

On L_p-theory of stochastic partial differential equations of divergence form in C¹ domains

Kyeong Hun Kim^*

^*Corresponding author for this work

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

29 Citations (Scopus)

Abstract

Stochastic partial differential equations of divergence form are considered in C¹ domains. Existence and uniqueness results are given in a Sobolev space with weights allowing the derivatives of the solutions to blow up near the boundary.

Original language	English
Pages (from-to)	473-492
Number of pages	20
Journal	Probability Theory and Related Fields
Volume	130
Issue number	4
DOIs	https://doi.org/10.1007/s00440-004-0368-5
Publication status	Published - 2004 Dec
Externally published	Yes

Keywords

C domains
Sobolev spaces with weights
Stochastic partial differential equations

ASJC Scopus subject areas

Analysis
Statistics and Probability
Statistics, Probability and Uncertainty

Access to Document

10.1007/s00440-004-0368-5

Cite this

@article{0e01c79b374b476b912a4093133c7d0d,

title = "On Lp-theory of stochastic partial differential equations of divergence form in C1 domains",

abstract = "Stochastic partial differential equations of divergence form are considered in C1 domains. Existence and uniqueness results are given in a Sobolev space with weights allowing the derivatives of the solutions to blow up near the boundary.",

keywords = "C domains, Sobolev spaces with weights, Stochastic partial differential equations",

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

year = "2004",

month = dec,

doi = "10.1007/s00440-004-0368-5",

language = "English",

volume = "130",

pages = "473--492",

journal = "Probability Theory and Related Fields",

issn = "0178-8051",

publisher = "Springer New York",

number = "4",

}

TY - JOUR

T1 - On Lp-theory of stochastic partial differential equations of divergence form in C1 domains

AU - Kim, Kyeong Hun

PY - 2004/12

Y1 - 2004/12

N2 - Stochastic partial differential equations of divergence form are considered in C1 domains. Existence and uniqueness results are given in a Sobolev space with weights allowing the derivatives of the solutions to blow up near the boundary.

AB - Stochastic partial differential equations of divergence form are considered in C1 domains. Existence and uniqueness results are given in a Sobolev space with weights allowing the derivatives of the solutions to blow up near the boundary.

KW - C domains

KW - Sobolev spaces with weights

KW - Stochastic partial differential equations

UR - https://www.scopus.com/pages/publications/11144277296

U2 - 10.1007/s00440-004-0368-5

DO - 10.1007/s00440-004-0368-5

M3 - Article

AN - SCOPUS:11144277296

SN - 0178-8051

VL - 130

SP - 473

EP - 492

JO - Probability Theory and Related Fields

JF - Probability Theory and Related Fields

IS - 4

ER -