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A submartingale type inequality with applications to stochastic evolution equations. (English) Zbl 0495.60066


MSC:

60H15 Stochastic partial differential equations (aspects of stochastic analysis)
60G17 Sample path properties
60H05 Stochastic integrals
60B12 Limit theorems for vector-valued random variables (infinite-dimensional case)

Citations:

Zbl 0303.47030
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References:

[1] Arnold L., Forschungsschwerpunkt Dynamische Systeme, Uniuersität Bremen (1980)
[2] Chojnowska-Michalik A. F., Stochastic differential equations in Hilbert spaces and their applications, Ph. D. (1976) · Zbl 0414.60064
[3] Curtain R. F., Lecture Notes in Control and Information Sciences 8 (1978)
[4] Da Pralo G., Stochastics 6 (2) pp 105– (1982) · doi:10.1080/17442508208833196
[5] Gihman I. I., Die Grundlehren der math. Wissenschaften 210
[6] Kato T., Die Grundlehren der math. Wissenschaften 132 (1976)
[7] Kotelenez P., A Central Limit Theorem for Chemical Reactions with Diffusions, Ph. D. (1982) · Zbl 0523.60078
[8] Kotelenez P., Stochastic Differential Systems 36 (1981) · Zbl 0462.60034 · doi:10.1007/BFb0006414
[9] Kotelenez P., Local behaviour of Hilbert space valued stochastic integrals and the continuity of mild solutions of stochastic evolution equations. to appear in Stochastics · Zbl 0462.60034
[10] Krylov N. B., hogi Nauki I Tehniki, Ser. Sow Probl. Mat 14 pp 71– (1979)
[11] Metivier M., Stochastic Integration (1980)
[12] Pardoux E., Thése doct. Sci. math. Univ. Paris Sud (1975)
[13] Vinter R. B., A representation of solutions to stochastic delay equations (1975)
[14] Zabczyk J., Linear Stochastic Systems in Hilbert Spaces; Structural Properties and Limit Behaviour (1981) · Zbl 0462.60062
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