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Publikováno v:
In Computers and Geosciences February 2022 159
Autor:
Corrales, X., Vilas, D., Piroddi, C., Steenbeek, J., Claudet, J., Lloret, J., Calò, A., Di Franco, A., Font, T., Ligas, A., Prato, G., Sahyoun, R., Sartor, P., Guidetti, P., Coll, M.
Publikováno v:
In Ocean and Coastal Management 1 August 2020 193
Publikováno v:
J. Differential Equations 259 (2015), no. 8, 3854-3873
We obtain sufficient conditions for the uniqueness of solutions to the Cauchy problem for the continuity equation in classes of measures that need not be absolutely continuous.
Externí odkaz:
http://arxiv.org/abs/1412.7002
Publikováno v:
Annals of Probability 2016, Vol. 44, No. 3, 1985-2023
We prove pathwise uniqueness for a class of stochastic differential equations (SDE) on a Hilbert space with cylindrical Wiener noise, whose nonlinear drift parts are sums of the sub-differential of a convex function and a bounded part. This generaliz
Externí odkaz:
http://arxiv.org/abs/1404.5418
We consider stochastic evolution equations in Hilbert spaces with merely measurable and locally bounded drift term $B$ and cylindrical Wiener noise. We prove pathwise (hence strong) uniqueness in the class of global solutions. This paper extends our
Externí odkaz:
http://arxiv.org/abs/1309.5506
Publikováno v:
Commun. Math. Stat. 1 (2013), no. 3, 281-304
In this paper we develop a new technique to prove existence of solutions of Fokker-Planck equations on Hilbert spaces for Kolmogorov operators with non trace-class second order coefficients or equivalently with an associated stochastic partial differ
Externí odkaz:
http://arxiv.org/abs/1307.5200
Publikováno v:
Annals of Probability 2013, Vol. 41, No. 5, 3306-3344
We prove pathwise (hence strong) uniqueness of solutions to stochastic evolution equations in Hilbert spaces with merely measurable bounded drift and cylindrical Wiener noise, thus generalizing Veretennikov's fundamental result on $\mathbb{R}^d$ to i
Externí odkaz:
http://arxiv.org/abs/1109.0363
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 January 2018 457(2):1173-1187
Publikováno v:
The Annals of Probability, 2016 May 01. 44(3), 1985-2023.
Externí odkaz:
http://www.jstor.org/stable/24735846
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