Browsing by Subject "Hilbert Spaces"

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Foundations of the theory of semilinear stochastic partial differential equations

Tappe, Stefan (New York, NY : Hindawi Publishing Corporation, 2013)

The goal of this review article is to provide a survey about the foundations of semilinear stochastic partial differential equations. In particular, we provide a detailed study of the concepts of strong, weak, and mild ...
The Itô integral with respect to an infinite dimensional Lévy process: A series approach

Tappe, Stefan (New York, NY : Hindawi Publishing Corporation, 2013)

We present an alternative construction of the infinite dimensional Itô integral with respect to a Hilbert space valued Lévy process. This approach is based on the well-known theory of real-valued stochastic integration, ...

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