Some Lp and Hölder Estimates for Divergence Type Nonlinear SPDEs on C 1-Domains

Ildoo Kim; Kyeong Hun Kim

doi:10.1007/s11118-013-9384-3

Some L_p and Hölder Estimates for Divergence Type Nonlinear SPDEs on C ¹-Domains

Ildoo Kim, Kyeong Hun Kim

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

3 Citations (Scopus)

Abstract

We prove uniqueness and existence of certain nonlinear stochastic partial differential equations (SPDEs) of divergence type defined on C ¹-domains. Some L_p and Hölder estimates of the solution and its gradient are also obtained.

Original language	English
Pages (from-to)	583-612
Number of pages	30
Journal	Potential Analysis
Volume	41
Issue number	2
DOIs	https://doi.org/10.1007/s11118-013-9384-3
Publication status	Published - 2014 Jun

Keywords

Equations of divergence type
Hölder estimates
Nonlinear stochastic partial differential equations

ASJC Scopus subject areas

Analysis

Access to Document

10.1007/s11118-013-9384-3

Cite this

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title = "Some Lp and H{\"o}lder Estimates for Divergence Type Nonlinear SPDEs on C 1-Domains",

abstract = "We prove uniqueness and existence of certain nonlinear stochastic partial differential equations (SPDEs) of divergence type defined on C 1-domains. Some Lp and H{\"o}lder estimates of the solution and its gradient are also obtained.",

keywords = "Equations of divergence type, H{\"o}lder estimates, Nonlinear stochastic partial differential equations",

author = "Ildoo Kim and Kim, {Kyeong Hun}",

note = "Funding Information: The research of the second author was supported by Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Education, Science and Technology (20120005158) Copyright: Copyright 2014 Elsevier B.V., All rights reserved.",

year = "2014",

month = jun,

doi = "10.1007/s11118-013-9384-3",

language = "English",

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T1 - Some Lp and Hölder Estimates for Divergence Type Nonlinear SPDEs on C 1-Domains

AU - Kim, Ildoo

AU - Kim, Kyeong Hun

N1 - Funding Information: The research of the second author was supported by Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Education, Science and Technology (20120005158) Copyright: Copyright 2014 Elsevier B.V., All rights reserved.

PY - 2014/6

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N2 - We prove uniqueness and existence of certain nonlinear stochastic partial differential equations (SPDEs) of divergence type defined on C 1-domains. Some Lp and Hölder estimates of the solution and its gradient are also obtained.

AB - We prove uniqueness and existence of certain nonlinear stochastic partial differential equations (SPDEs) of divergence type defined on C 1-domains. Some Lp and Hölder estimates of the solution and its gradient are also obtained.

KW - Equations of divergence type

KW - Hölder estimates

KW - Nonlinear stochastic partial differential equations

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