Analytically weak solutions to SPDEs with unbounded time-dependent differential operators and an application

Details Analytically weak solutions to SPDEs with unbounded time-dependent differential operators and an application Analytically weak solutions to SPDEs with unbounded time-dependent differential operators and an application

2011-12-08

arxiv.org/abs/1112.1807v2

Mathematics

Functional Analysis

Scientific paper

We analyze the concepts of analytically weak solutions of stochastic
differential equations (SDEs) in Hilbert spaces with time-dependent unbounded
operators and give conditions for existence and uniqueness of such solutions.
Our studies are motivated by a stochastic partial differential equation (SPDE)
arising in industrial mathematics.

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