0503559 20240103221852.620190324235959.9 000461783800007 85055561080 10.1080/07362994.2018.1524304 Support of solutions of stochastic differential equations in exponential Besov-Orlicz spaces 16 s. P cav_un_epca*02551420736-2994Stochastic Analysis and Applications366 (2018)1037-1052Taylor & Francis Stochastic differential equation topological support Besov-Orlicz space cav_un_auth*0260292 Stochastická informatika Department of Stochastic Informatics SI SI Department of Stochastic Informatics Ondreját Martin UTIA-B CZ Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0373946 Stochastická informatika Department of Stochastic Informatics SI SI Šimon Prokop UTIA-B CZ Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0219359 Stochastická informatika Department of Stochastic Informatics SI SI Department of Stochastic Informatics Kupsa Michal UTIA-B CZ Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2019/SI/ondrejat-0503559.pdf cav_un_auth*0321649 GA15-08819S GA ČR CZ The Besov-Orlicz space with the modulus being the square root, the parameter "q" being infinity and with the Young function for the Orlicz norm being the exponential of the square, is currently the smallest known classical function space to which paths of the Wiener process belong almost surely. We consider stochastic differential equations with no global growth condition on the non-linearities and we describe the topological support of the laws of trajectories of the solutions in every Polish subspace of continuous functions into which this Besov-Orlicz space is embedded compactly. WOS BA 10000 10100 10103 2019 3 4 A hod 4ah 20231122143922.4 RVO:67985556 http://hdl.handle.net/11104/0295382 1 Department of Stochastic Informatics UTIA-B 10103 STATISTICS & PROBABILITY S 2 Article Mathematics Applied|Statistics Probability MATHEMATICS.APPLIED|STATISTICS&PROBABILITY 0.741 0.373 11.1 0.00173 0.48 804 0.552 0.748 51 Q3 30.313 36.3 Q3 Q3 0.52 Q2 37.805 2018 Soubory v repozitáři: ondrejat-0503559.pdf 85055561080 SCOPUS PUBMED 000461783800007 WOS cav_un_epca*0255142 Stochastic Analysis and Applications 0736-2994 1532-9356 Roč. 36 č. 6 2018 1037 1052 Taylor & Francis