On Lp-theory of stochastic partial differential equations of divergence form with continuous coefficients

Stochastic Analysis and Applications

Volumn 17, Issue 5, 1999, Pages 871-894

  Yoo, Hyek ^a  

^a UNIVERSITY OF MINNESOTA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033240647     PISSN: 07362994     EISSN: None     Source Type: Journal    
DOI: 10.1080/07362999908809640     Document Type: Article

References (10)

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3. N.V. Krylov, An analytic approach to SPDEs, in Stochastic Partial Differential Equations, Six Perspectives, Mathematical Surveys and Monographs, AMS, submitted.
4. N.V. Krylov, Introduction to the theory of diffusion processes, Amer. Math. Soc., Providence, RI, 1995.
5. N.V. Krylov, B.L. Rozovskii, On the Cauchy problem for linear stochastic partial differential equations, Math. USSR Izvestija, Vol.11 (1977), 1267-1284.
6. O.A. Ladyzenskaya, V.V. Solonnikov, N.N. Ural'tseva, Linear and quasilinear equations of parabolic type, Transl AMS, Vol. 23, Am. Math. Soc. Providence, RI, 1968.
7. p-estimate for the gradient of solutions of second order elliptic divergence equations, Ann. Scuola Norm. Sup. Pisa III, 17 (1963), 189-206.
8. p delle derivate prime delle soluzioni deboli del problema di Cauchy-Dirichlet per le equazioni lineari del secondo ordine di tipo parabolico, Le Matematiche, 22 (1967), 250-265.
9. B.L. Rozovskii, Stochastic evolution systems, Kluwer, Dordrecht, 1990.
10. p-estimates for stochastic PDEs with discontinuous coefficients, to appear in Stoch. Anal. Appl.