Article
MSC:
34F05,
34G10,
35R60,
47D06,
47N20,
60H15,
93E15 | MR 1112004 | Zbl 0786.60084 | DOI: 10.21136/MB.1991.126137
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Keywords:
stochastic evolution equations; integral continuity theorems; asymptotic stability; stochastic partial differential equations; semigroup approach
stochastic evolution equations; integral continuity theorems; asymptotic stability; stochastic partial differential equations; semigroup approach
Summary:
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.
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