Path regularity for stochastic differential equations in Banach spaces

In this work we analzyse the Stochastic Cauchy Problem driven by a cylindrical Wiener process. Given the existence of solutions we show regularity of the paths of the solution. In dependence on properties of the operators in the equation or on geometrical properties of the underlying Banachspace we...

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Main Author: Dettweiler, Johanna (auth)
Format: Electronic Book Chapter
Language:English
Published: KIT Scientific Publishing 2007
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245 1 0 |a Path regularity for stochastic differential equations in Banach spaces 
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520 |a In this work we analzyse the Stochastic Cauchy Problem driven by a cylindrical Wiener process. Given the existence of solutions we show regularity of the paths of the solution. In dependence on properties of the operators in the equation or on geometrical properties of the underlying Banachspace we derive space time regularity results for the paths of the solution. 
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546 |a English 
653 |a Partielle Differentialgl 
653 |a Stochastischer Prozess 
653 |a Banach-Raum 
653 |a Stark stetige Halbgruppe 
653 |a Regularität 
653 |a Stochastisches Integral 
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856 4 0 |a www.oapen.org  |u https://directory.doabooks.org/handle/20.500.12854/55782  |7 0  |z DOAB: description of the publication