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978-3-8439-0742-2, Reihe Mathematik

Thanh Tan Mai
Stochastic partial differential equations corresponding to time-inhomogeneous evolution equations

120 Seiten, Dissertation Technische Universität Kaiserslautern (2012), Softcover, A5

Zusammenfassung / Abstract

In this thesis 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. We also study long time behavior of solutions by using the concept of continuously extended solutions of stochastic partial differential equations (SPDEs). Our studies are motivated by a non-linear SPDE arising in industrial mathematics.