Review of local and global existence results for stochastic PDEs with Lévy noise

DOI10.3934/dcds.2020241zbMath1447.35003OpenAlexW3037659049MaRDI QIDQ2196680

Yanyan Li

Publication date: 3 September 2020

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2020241

zbMATH Keywords

Galerkin approximationPoisson random measurepathwise solutions

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02)

Related Items (6)

Global martingale weak solutions for the three-dimensional stochastic chemotaxis-Navier-Stokes system with Lévy processes ⋮ Dynamics and Large Deviations for Fractional Stochastic Partial Differential Equations with Lévy Noise ⋮ 3D shear flows driven by Lévy noise at the boundary ⋮ The Euler equations of an inviscid incompressible fluid driven by a Lévy noise ⋮ Nonlinear stochastic parabolic partial differential equations with a monotone operator of the Ladyzenskaya-Smagorinsky type, driven by a Lévy noise ⋮ Weak and strong averaging principle for a stochastic coupled fast-slow atmosphere-ocean model with non-Lipschitz Lévy noise

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