Large deviations for (1+1)-dimensional stochastic geometric wave equation

0556599 - ÚTIA 2023 RIV US eng J - Článek v odborném periodiku
Brzezniak, Z. - Goldys, B. - Ondreját, Martin - Rana, N.
Large deviations for (1+1)-dimensional stochastic geometric wave equation.
Journal of Differential Equations. Roč. 325, č. 1 (2022), s. 1-69. ISSN 0022-0396. E-ISSN 1090-2732
Grant CEP: GA ČR(CZ) GA19-07140S
Institucionální podpora: RVO:67985556
Klíčová slova: Large deviations * Stochastic geometric wave equation * Riemannian manifold
Obor OECD: Pure mathematics
Impakt faktor: 2.4, rok: 2022
Způsob publikování: Omezený přístup
http://library.utia.cas.cz/separaty/2022/SI/ondrejat-0556599.pdf https://www.sciencedirect.com/science/article/pii/S0022039622002406?via%3Dihub

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.
Trvalý link: http://hdl.handle.net/11104/0330845