Inhalt des Dokuments
Nonlinear Stochastic Evolution Equations: Analysis and Numerics
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This workshop intends to bring together experts on nonlinear stochastic evolution equations and to discuss recent developments in this field of research.
November 3rd - 5th, 2016, Berlin
Raphael Kruse 
Etienne Emmrich 
Petra Wittbold 
Supported by Technische Universität Berlin, Universität Duisburg-Essen, Einstein Center for Mathematics and German Research Foundation through DFG research unit FOR 2402.
Since the 1970s the analysis of stochastic partial
differential equations (SPDEs) is one of the most active research
fields within mathematics, which has led to many new and fruitful
collaborations of several mathematical branches such as differential
equations, stochastic analysis, numerics or functional analysis.
Nowadays, SPDEs are often used to model complex phenomena, which are
influenced by uncertainties or stochastic perturbations. Typically,
the presence of noise leads to a loss of regularity which prevents
the application of traditional (deterministic) solution theory or
The goal of this workshop is to discuss open problems and recent progress made in the mathematical treatment of nonlinear stochastic evolution equations. For instance, in the case of quasilinear stochastic evolution equations, such as the stochastic p-Laplace equation, the question of existence of solutions can often be positively answered by the help of variational methods. However, it often remains an open problem of how to determine the optimal regularity of such a solution. Moreover, the development and analysis of numerical methods for such equations is still in its infancy.