-estimates for SPDE with discontinuous coefficients in domains.
Kim, Kyeong-Hun (2005)
Electronic Journal of Probability [electronic only]
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Kim, Kyeong-Hun (2005)
Electronic Journal of Probability [electronic only]
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Simon, László (2003)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Shakhmurov, Veli B. (2007)
Abstract and Applied Analysis
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Burenkov, Viktor I.
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Chérif Amrouche, Hamid Bouzit (2008)
Applications of Mathematics
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This paper solves the scalar Oseen equation, a linearized form of the Navier-Stokes equation. Because the fundamental solution has anisotropic properties, the problem is set in a Sobolev space with isotropic and anisotropic weights. We establish some existence results and regularities in theory.