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Sobolev space theory of SPDEs with continuous or measurable leading coefficients
- Authors
- Kim, Kyeong-Hun
- Issue Date
- 1월-2009
- Publisher
- ELSEVIER
- Keywords
- Stochastic partial differential equations; L-q(L-p)-theory; L-p-theory; Sobolev spaces with weights; Measurable coefficients
- Citation
- STOCHASTIC PROCESSES AND THEIR APPLICATIONS, v.119, no.1, pp.16 - 44
- Indexed
- SCIE
SCOPUS
- Journal Title
- STOCHASTIC PROCESSES AND THEIR APPLICATIONS
- Volume
- 119
- Number
- 1
- Start Page
- 16
- End Page
- 44
- ISSN
- 0304-4149
- Abstract
- We study stochastic partial differential equations with variable coefficients defined on R-d, R-+(d) and bounded C-1 domains. For equations with continuous leading coefficients we give existence and uniqueness results in L-q(L-p)-spaces, where it is allowed for the powers of summability with respect to space and time variables to be different. For equations with measurable leading coefficients we give unique solvability in L-p-spaces. (C) 2008 Elsevier B.V. All rights reserved.
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