Stochastic evolution equations : a Hilbert space approach
著者
書誌事項
Stochastic evolution equations : a Hilbert space approach
(Mathematical research = Mathematische Forschung, Bd. 85)
Akademie Verlag , VCH, c1995
1st ed
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注記
Includes bibliographical references
内容説明・目次
内容説明
Stochastic partial differential equations are studied in this text, using the infinite dimensional stochastic analysis, the theory of evolution operators and rigged Hilbert spaces. The authors also consider existence and uniqueness theorems as well as the possibilities of the approximation.
目次
- Measurability and integrability in Hilbert spaces
- stochatic integrals in Hilbert spaces
- stochastic convolutions
- solutions of stochastic evolution equations - semigroups and evolution operator case, equations in rigged Hilbert spaces
- approximation of stochastic evolution equations
- examples in physics.
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