Pathwise uniqueness for stochastic reaction-diffusion equations in Banach spaces with an Hölder drift component

DOI10.1007/s40072-013-0016-0zbMath1304.60071arXiv1212.5377OpenAlexW2052030758MaRDI QIDQ378034

Franco Flandoli, Giuseppe Da Prato, Sandra Cerrai

Publication date: 20 November 2013

Published in: Stochastic and Partial Differential Equations. Analysis and Computations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.5377

zbMATH Keywords

stochastic reaction-diffusion equationspathwise uniquenessKolmogorov equations in infinite dimensionstochastic differential equations in Banach space

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Perturbations of nonlinear operators (47H14)

Related Items (6)

\(L_p\)-regularity theory for the stochastic reaction-diffusion equation with super-linear multiplicative noise and strong dissipativity ⋮ A BSDEs approach to pathwise uniqueness for stochastic evolution equations ⋮ Pathwise uniqueness for the stochastic heat equation with Hölder continuous drift and noise coefficients ⋮ Pathwise uniqueness for stochastic evolution equations with Hölder drift and stable Lévy noise ⋮ Strong uniqueness for SDEs in Hilbert spaces with nonregular drift ⋮ Global solutions for the stochastic reaction-diffusion equation with super-linear multiplicative noise and strong dissipativity

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