Stationary solutions to boundary problem for the heat equations
A. Ya. Dorogovtsev
Source: Hiroshima Math. J. Volume 30, Number 2
(2000), 191-203.
First Page:
Show
Hide
Full-text: Open access
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.hmj/1206124682
Mathematical Reviews number (MathSciNet): MR1777511
Zentralblatt MATH identifier: 0970.60035
References
[1] R. F. Curtain and P. L. Falb, Stochastic Differential Equation in Hubert Space, J. Differential Equations 10 (1971), 412-430.
Zentralblatt MATH: 0225.60028
Mathematical Reviews (MathSciNet): MR303603
[2] G. Da Prato, Regularity Properties of a Stochastic Convolution Integral, Atti. Acad. Naz. Lincei Rend. Sc. fis. mat. e. natur. 72 (1982), 217-219.
Zentralblatt MATH: 0522.60066
Mathematical Reviews (MathSciNet): MR728101
[3] A. Ya. Dorogovtsev, Periodic Solutions of an Evolutional Differential Equations Perturbed by Random Processes, Ukrainskii Matematicheskii Zhurnal 41 (12) (1989), 1642-1648 (in Russian).
Zentralblatt MATH: 0686.60050
Mathematical Reviews (MathSciNet): MR1042961
[4] A. Ya. Dorogovtsev, Stationary and Periodic Solutions of Stochastic Difference and Differential Equations in Banach Space, New Trends in Probability and Statistics, Proc. Bakuriani Colloq. in Honor of Yu. V. Prohorov edited V. V. Sasonov and T. Shervashidze, MOKSLAS, Vilnius 1 (1991), 375-390.
Zentralblatt MATH: 0770.60057
Mathematical Reviews (MathSciNet): MR1200928
[5] A. Ya. Dorogovtsev, Periodic and Stationary Regimes of Infinite-Dimensional Deterministic and Stochastic Dynamically Systems, Vissha Shkola, Kiev, 1992 (in Russian).
Mathematical Reviews (MathSciNet): MR1206004
[6] A. Ya. Dorogovtsev, Periodic Processes: a Survey of Results, Theory of Stochastic Processes 2 (18) (3-4) (1996), 36-53.
Zentralblatt MATH: 0943.60031
[7] I. I. Gikhman and A. V. Skorokhod, Stochastic Differential Equations and its Applications, Naukova Dumka, Kiev, 1982 (in Russian).
Mathematical Reviews (MathSciNet): MR678374
[8] B. Goldys, On some Regularity Properties of Solutions to Stochastic Evolution Equations, Colloquium Mathematicum 58 (2) (1990), 327-338.
Zentralblatt MATH: 0704.60059
Mathematical Reviews (MathSciNet): MR1060184
[9] R. Z. Khasminskii, Stochastic Stability of Diifferential Equations, Sijthoff and Nordhoff, Alpen aan den Rijn, 1980.
Zentralblatt MATH: 0441.60060
Mathematical Reviews (MathSciNet): MR600653
[10] P. Kotelenez, A Submartingale Type Inequality with Applications to Stochastic Evolution Equations, Stochastics 8 (1982), 139-151.
Zentralblatt MATH: 0495.60066
Mathematical Reviews (MathSciNet): MR686575
[11] M. G. Krein, Lectures on the Stability Theory of Solutions of Differential Equations in Banach Space, Inst. Techn. Inf., Academy Sci. Ukrainian SSR, Kiev, 1964 (in Russian).
Mathematical Reviews (MathSciNet): MR183952
[12] Hui-Hsiung Kuo, Gaussian Measures in Banach Spaces, Springer-Verlag, 1975.
Zentralblatt MATH: 0306.28010
Mathematical Reviews (MathSciNet): MR461643
[13] A. V. Skorokhod, Integration in Hubert Space, Nauka, Moscow, 1975 (in Russian).
Zentralblatt MATH: 0307.28010
[14] L. Tubaro, Regularity Results of the Process X{t) = Jo' U(t, s)g{s)dW{s), Rend. Sem. Mat. Univ. Padova 39 (1982), 241-248.
Zentralblatt MATH: 0491.60052
Mathematical Reviews (MathSciNet): MR685397
[14] O. Vejvoda et al., Partial Differential Equations: Time-Periodic Solutions, Noordhoff, Alpen aan den Rijn, 1981.
Zentralblatt MATH: 0501.35001
Hiroshima Mathematical Journal