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

Research output: Contribution to journalArticle

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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 Hölder estimates of the solution and its gradient are also obtained.

Original languageEnglish
Pages (from-to)583-612
Number of pages30
JournalPotential Analysis
Volume41
Issue number2
DOIs
Publication statusPublished - 2014 Jan 1

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Stochastic Partial Differential Equations
Nonlinear Partial Differential Equations
Divergence
Existence and Uniqueness
Gradient
Estimate

ASJC Scopus subject areas

  • Analysis

Cite this

Some Lp and Hölder Estimates for Divergence Type Nonlinear SPDEs on C 1-Domains. / Kim, Ildoo; Kim, Kyeong Hun.

In: Potential Analysis, Vol. 41, No. 2, 01.01.2014, p. 583-612.

Research output: Contribution to journalArticle

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