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Some L (p) and Holder Estimates for Divergence Type Nonlinear SPDEs on C (1)-Domains
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3초록
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 Holder estimates of the solution and its gradient are also obtained.
키워드
Nonlinear stochastic partial differential equations; Equations of divergence type; L-p-estimates; Holder estimates; SOBOLEV SPACE THEORY; PARTIAL-DIFFERENTIAL-EQUATIONS; EVOLUTION-EQUATIONS; COEFFICIENTS; EXISTENCE
- 제목
- Some L (p) and Holder Estimates for Divergence Type Nonlinear SPDEs on C (1)-Domains
- 저자
- Kim, Ildoo; Kim, Kyeong-Hun
- 발행일
- 2014-08
- 유형
- Article
- 권
- 41
- 호
- 2
- 페이지
- 583 ~ 612