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Some L (p) and Holder Estimates for Divergence Type Nonlinear SPDEs on C (1)-Domains
- Authors
- Kim, Ildoo; Kim, Kyeong-Hun
- Issue Date
- 8월-2014
- Publisher
- SPRINGER
- Keywords
- Nonlinear stochastic partial differential equations; Equations of divergence type; L-p-estimates; Holder estimates
- Citation
- POTENTIAL ANALYSIS, v.41, no.2, pp.583 - 612
- Indexed
- SCIE
SCOPUS
- Journal Title
- POTENTIAL ANALYSIS
- Volume
- 41
- Number
- 2
- Start Page
- 583
- End Page
- 612
- ISSN
- 0926-2601
- 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 Holder estimates of the solution and its gradient are also obtained.
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