On the unique solvability of some nonlinear stochastic PDEs

Electronic Journal of Probability

Volumn 3, Issue , 1998, Pages

  Yoo, Hyek ^a  

^a University of Minnesota   (United States)

Author keywords

Embedding theorems; Space of bessel potentials; Stochastic PDEs

Indexed keywords

EID: 3042714746     PISSN: 10836489     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (9)

1. N.U. Ahmed, An existence theorem for stochastic nonlinear evolution equations on Banach space, Stoch. Anal. Appl., 10(4) (1992), 379-385.
2. A. Bensoussan, Some existence results for stochastic partial differential equations, in Stochastic Partial Differential Equations and Applications, G. Da Prato and L. Tubaro, eds., Pitman Res. Notes Math. Ser., 268 (1992), 37-53.
3. A. Bensoussan, R. Temam, Equations aux dérivées partielles stochastiques non linéaires (1), Israel J. Math., 11, No. 1 (1972), 95-129.
4. A. Bensoussan, R. Temam, Equations stochastiques du type Navier-Stokes, J. Funct. Anal., 13, No. 2 (1973), 195-222.
5. Yu.L. Dalecky, N.Yu. Goncharuk, On a quasilinear stochastic differential equation of parabolic type, Stoch. Anal. Appl., 12(1) (1994), 103-129.
6. G. Da Prato, L. Tubaro, Fully nonlinear stochastic partial differential equations, SIAM J. Math. Anal. Vol.27, No. 1 (1996), 40-55.
7. G. Da Prato, J. Zabczyk, Stochastic equations in infinite dimensions, Cambridge University Press, New York, NY, 1992.
8. p-theory of stochastic partial differential equations in the whole space, SIAM J. Math. Anal. Vol.27, No.2 (1996), 313-340. 1996.
9. N.V. Krylov, An analytic approach to SPDEs, in Stochastic Partial Differential Equations, Six Perspectives, Mathematical Surveys and Monographs, AMS, submitted.