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: Book Chapter
Published: KIT Scientific Publishing 2007
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005 20210211
020 |a KSP/1000006936 
020 |a 9783866441446 
024 7 |a 10.5445/KSP/1000006936  |c doi 
041 0 |a English 
042 |a dc 
100 1 |a Dettweiler, Johanna  |4 auth 
245 1 0 |a Path regularity for stochastic differential equations in Banach spaces 
260 |b KIT Scientific Publishing  |c 2007 
300 |a 1 electronic resource (90 p. p.) 
506 0 |a Open Access  |2 star  |f Unrestricted online access 
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. 
540 |a Creative Commons  |f https://creativecommons.org/licenses/by-nc-nd/4.0/  |2 cc  |4 https://creativecommons.org/licenses/by-nc-nd/4.0/ 
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 
856 4 0 |a www.oapen.org  |u https://www.ksp.kit.edu/9783866441446  |7 0  |z Get Fullteks 
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