This monograph, now in a thoroughly revised second edition, develops the theory of stochastic calculus in Hilbert spaces and applies the results to the study of generalized solutions of stochastic parabolic equations. The emphasis lies on second-order stochastic parabolic equations and their conn
Stochastic Evolution Systems: Linear Theory and Applications to Non-linear Filtering
β Scribed by B. L. Rozovskii (auth.)
- Publisher
- Springer Netherlands
- Year
- 1990
- Tongue
- English
- Leaves
- 332
- Series
- Mathematics and Its Applications (Soviet Series) 35
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Table of Contents
Front Matter....Pages i-xviii
Examples and Auxiliary Results....Pages 1-38
Stochastic Integration in a Hilbert Space....Pages 39-85
Linear Stochastic Evolution Systems in Hilbert Spaces....Pages 86-124
Itoβs Second Order Parabolic Equations....Pages 125-174
Itoβs Partial Differenital Equations and Diffusion Processes....Pages 175-219
Filtering, Interpolation and Extrapolation of Diffusion Processes....Pages 220-250
Hypoellipticity of Itoβs Second Order Parabolic Equations....Pages 251-293
Back Matter....Pages 301-315
β¦ Subjects
Probability Theory and Stochastic Processes;Partial Differential Equations;Electrical Engineering;Theoretical, Mathematical and Computational Physics
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