Geodesic
An averaging principle for stochastic evolution equations. II
Mathematica Bohemica, Tome 116 (1991) no. 2, pp. 191-224

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MR Zbl
In the present paper integral continuity theorems for solutions of stochastic evolution equations of parabolic type on unbounded time intervals are established. For this purpose, the asymptotic stability of stochastic partial differential equations is investigated, the results obtained being of independent interest. Stochastic evolution equations are treated as equations in Hilbert spaces within the framework of the semigroup approach.
In the present paper integral continuity theorems for solutions of stochastic evolution equations of parabolic type on unbounded time intervals are established. For this purpose, the asymptotic stability of stochastic partial differential equations is investigated, the results obtained being of independent interest. Stochastic evolution equations are treated as equations in Hilbert spaces within the framework of the semigroup approach.
DOI : 10.21136/MB.1991.126137
Classification : 34F05, 34G10, 35R60, 47D06, 47N20, 60H15, 93E15
Keywords: stochastic evolution equations; integral continuity theorems; asymptotic stability; stochastic partial differential equations; semigroup approach 
Maslowski, Bohdan; Seidler, Jan; Vrkoč, Ivo. An averaging principle for stochastic evolution equations. II. Mathematica Bohemica, Tome 116 (1991) no. 2, pp. 191-224. doi: 10.21136/MB.1991.126137
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