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 Jan 1

ASJC Scopus subject areas

Analysis

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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}",

year = "2014",

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

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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

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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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JF - Potential Analysis

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