AW

                  n
                2-theory of the Dirichlet problem for SPDEs in general smooth domains

N. V. Krylov

doi:10.1007/bf01192260

journal article Sep 01, 1994

AW n 2-theory of the Dirichlet problem for SPDEs in general smooth domains

N. V. Krylov

Probability Theory and Related Fields Vol. 98 No. 3 pp. 389-421 · Springer Science and Business Media LLC

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References

6

[1]

[Ba] Barcelo, T.: On the Poisson kernel for nondivergence elliptic equations with continuous coefficients. In: Partial differential equations with minimal smoothness and applications. (The IMA Volumes in Math. and its Appl., vol. 42, pp. 49–88) Berlin Heidelberg New York: Springer 1992 10.1007/978-1-4612-2898-1_6

[2]

[Br] Brzezniak, Z.: Stochastic partial differential equations in Banach spacess, II. (Preprint)

[3]

[F] Flandoli, F.: Dirichlet boundary value problem for stochastic parabolic equations: compatibility relations and regularity of solutions. Stochastics Stochastics Rep.29(3) 331–357 (1990) 10.1080/17442509008833620

[4]

[GK] Gyöngy, I., Krylov, N.V.: Stochastic partial differential equations with unbounded coefficients and applications, III. Stochastics Stochastics Rep. (to appear)

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[KR] Krylov, N.V., Rozovskii, B.L.: Stochastic evolution equations. (--Itogy nauki i tekhniki, vol. 14, pp. 71–146) VINITI: Moscow 1979 (in russian); J. Sov. Math.16(4) 1233–1277 (1981) (in english)

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[S] Solonnikov, V.A.: Solvability of the classical initial-boundary-value problems for the heat-conduction equation in a dihedral angle. Zapiski Nauchnykh Seminarov LOMI138, 148–180 (1984) (in russian); J. Sov. Math.32(5) 526–546 (1986) (in english)

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Published: Sep 01, 1994
Vol/Issue: 98(3)
Pages: 389-421
License: View

Authors

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N. V. Krylov

Cite This Article

N. V. Krylov (1994). AW n 2-theory of the Dirichlet problem for SPDEs in general smooth domains. Probability Theory and Related Fields, 98(3), 389-421. https://doi.org/10.1007/bf01192260

AW n 2-theory of the Dirichlet problem for SPDEs in general smooth domains

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