0485286 20240103215430.420180122235959.9 85040344897 000448600200006 10.1142/S021949371850048X 22 s. P cav_un_epca*02940380219-493718World Scientific Publishing Volterra process Rosenblatt process hypercontractivity cav_un_auth*0356972 Čoupek P. CZ cav_un_auth*0286108 Maslowski B. CZ 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. http://library.utia.cas.cz/separaty/2018/SI/ondrejat-0485286.pdf cav_un_auth*0321649 GA15-08819S GA ČR CZ Space-time regularity of linear stochastic partial differential equations is studied. The solution is defined in the mild sense in the state space Lp. The corresponding regularity is obtained by showing that the stochastic convolution integrals are Hölder continuous in a suitable function space. In particular cases, this allows us to show space-time Hölder continuity of the solution. The main tool used is a hypercontractivity result on Banach-space valued random variables in a finite Wiener chaos. WOS BA 10000 10100 10101 2019 3 RVO:67985556 http://hdl.handle.net/11104/0280356 1 S 1850048 1 Article Statistics Probability STATISTICS&PROBABILITY 0.843 0.24 9.1 0.00133 0.566 489 0.465 0.629 50 Q4 30.866 24.8 Q3 Q3 0.36 Q3 24.797 2018 85040344897 SCOPUS PUBMED 000448600200006 WOS cav_un_epca*0294038 Stochastics and Dynamics 0219-4937 1793-6799 Roč. 18 č. 6 2018 World Scientific Publishing