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

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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Kim, I., & Kim, K. H. (2014). Some L_p and Hölder Estimates for Divergence Type Nonlinear SPDEs on C ¹-Domains. Potential Analysis, 41(2), 583-612. https://doi.org/10.1007/s11118-013-9384-3

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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",

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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.

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KW - Hölder estimates

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