Well-posedness and large deviations for a class of SPDEs with Lévy noise

DOI10.1016/j.jde.2017.06.016zbMath1400.60086OpenAlexW2732756842MaRDI QIDQ1785920

Yong Chen, Hong-Jun Gao

Publication date: 2 October 2018

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2017.06.016

zbMATH Keywords

regularizationwell-posednessshallow water equationslarge deviationsiterative approximation

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Wave equation (35L05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (14)

Well-posedness and wave-breaking for the stochastic rotation-two-component Camassa-Holm system ⋮ Local and global pathwise solutions for a stochastically perturbed nonlinear dispersive PDE ⋮ Large deviation principle for a class of SPDE with locally monotone coefficients ⋮ Dynamics and Large Deviations for Fractional Stochastic Partial Differential Equations with Lévy Noise ⋮ The Hunter-Saxton equation with noise ⋮ The effect of a noise on the stochastic modified Camassa–Holm equation ⋮ Large deviation principle for McKean-Vlasov quasilinear stochastic evolution equations ⋮ Periodic stochastic high-order Degasperis–Procesi equation with cylindrical fBm ⋮ Large deviations for stochastic 3D Leray-\( \alpha \) model with fractional dissipation ⋮ Wave-breaking and moderate deviations of the stochastic Camassa-Holm equation with pure jump noise ⋮ Moderate deviations for a stochastic Burgers equation ⋮ On the stochastic two-component Camassa-Holm system driven by pure jump noise ⋮ Freidlin-Wentzell's large deviation principle for stochastic integral evolution equations ⋮ Freidlin--Wentzell Type Large Deviation Principle for Multiscale Locally Monotone SPDEs

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