• Thesis
  • On nonlinear evolution problems with stochastic forcing

On nonlinear evolution problems with stochastic forcing

This contribution is devoted to the study of some classes of evolution equations with a stochastic perturbation. The perturbation is modeled by a stochastic integral with respect to a Wiener process.

Gegenstand dieser Arbeit sind ausgewählte nichtlineare Evolutionsgleichungen mit stochastischer Störung. Die Störung wird durch ein stochastisches Integral bezüglich eines Wiener Prozesses modelliert.

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Translated title:
Über nichtlineare Evolutionsprobleme mit stochastischer Störung (German)
Date Issued:
12.07.2017
URN:
urn:nbn:de:hbz:464-20170711-072749-6
DOI:
10.17185/duepublico/44140
Language:
English
Type of Resource:
Text
Keywords:
nichtlineare Evolutionsgleichungen; stochastische Störung; pseudomonotone problem; multiplicative noise; cylindrical Wiener process; martingale solution; pathwise uniqueness; strong solution; p-Laplace; random variable exponent; variable exponent; stochastic forcing; w-operator; p(t; x)-Laplace operator; monotonicity
Collection:
E-Publications
Dewey Decimal Classification:
510 Mathematics
Subject categories of the Deutsche Nationalbibliografie:
510 Mathematics
Hosting institution:
Faculty of Mathematics
funding:
The author would like to thank the Deutsche Forschungsgemeinschaft (DFG) for the financial support of her project ZI-1542/ 1-1.

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