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math.PR2022★ 1 cited
Non-linear Young equations in the plane and pathwise regularization by noise for the stochastic wave equation
Florian Bechtold, Fabian A. Harang, Nimit Rana
We study pathwise regularization by noise for equations on the plane in the spirit of the framework outlined by Catellier and Gubinelli (Stochastic Process. Appl., 2016). To this e…
math.PR2020
Large Deviations for -dimensional Stochastic Geometric Wave Equation
Zdzisław Brzeźniak, Ben Goldys, Martin Ondreját +1
We consider stochastic wave map equation on real line with solutions taking values in a -dimensional compact Riemannian manifold. We show first that this equation has unique, gl…
math.PR2019
Local solution to an energy critical 2-D stochastic wave equation with exponential nonlinearity in a bounded domain
Zdzisław Brzeźniak, Nimit Rana
We prove the existence and the uniqueness of a local maximal solution to an -critical stochastic wave equation with multiplicative noise on a smooth bounded domain $\mathcal{D…