0556599 20230323094128.420220419235959.9 85127936125 000795956700001 10.1016/j.jde.2022.04.003 69 s. P cav_un_epca*02569450022-03963251 (2022)1-69Elsevier Large deviations Stochastic geometric wave equation Riemannian manifold cav_un_auth*0202382 Brzezniak Z. GB cav_un_auth*0080014 Goldys B. AU cav_un_auth*0260292 Ondreját Martin UTIA-B Stochastická informatika Department of Stochastic Informatics SI SI Department of Stochastic Informatics CZ Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0428713 Rana N. DE http://library.utia.cas.cz/separaty/2022/SI/ondrejat-0556599.pdf https://www.sciencedirect.com/science/article/pii/S0022039622002406?via%3Dihub GA19-07140S GA ČR CZ cav_un_auth*0385132 We consider stochastic wave map equation on real line with solutions taking values in a d-dimensional compact Riemannian manifold. We show first that this equation has unique, global, strong in PDE sense, solution in local Sobolev spaces. The main result of the paper is a proof of the Large Deviations Principle for solutions in the case of vanishing noise. WOS BA 10000 10100 10101 2023 4 RVO:67985556 http://hdl.handle.net/11104/0330845 S n.a. Article Mathematics C MATHEMATICS 2.5 0.6 9 0.03398 1.416 21230 1.983 2.200 500 Q1 93.2 Q1 Q1* 2.18 Q1 93.2 2022 85127936125 SCOPUS PUBMED 000795956700001 WOS cav_un_epca*0256945 Journal of Differential Equations 0022-0396 1090-2732 Roč. 325 č. 1 2022 1 69 Elsevier