SPDEs driven by Poisson random measure with non Lipschitz coefficients: existence results

DOI10.1007/s00440-006-0501-8zbMath1119.60054OpenAlexW2007254397WikidataQ59225701 ScholiaQ59225701MaRDI QIDQ866946

Erika Hausenblas

Publication date: 14 February 2007

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00440-006-0501-8

zbMATH Keywords

existence of solutionsstochastic partial differential equationsPoisson random measureSPDE

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Random measures (60G57)

Related Items (27)

Stability and Strong Convergence for Spatial Stochastic Kinetics ⋮ Stochastic reaction-diffusion equations driven by jump processes ⋮ Well posedness of second-order impulsive fractional neutral stochastic differential equations ⋮ Fokker-Planck equations and maximal dissipativity for Kolmogorov operators for SPDE driven by Lévy noise ⋮ Invariant measures and a stability theorem for locally Lipschitz stochastic delay equations ⋮ Approximation of the stochastic 2D hydrodynamical type systems driven by non-Gaussian Lévy noise ⋮ One-dimensional McKean-Vlasov stochastic variational inequalities and coupled BSDEs with locally Hölder noise coefficients ⋮ Existence and Uniqueness for a Class of SPDEs Driven by L'{e}vy Noise in Hilbert Spaces ⋮ On a Burgers type nonlinear equation perturbed by a pure jump Lévy noise in \(\mathbb R^d\) ⋮ The existence and asymptotic behaviour of energy solutions to stochastic 2D functional Navier-Stokes equations driven by Lévy processes ⋮ Ergodicity of linear SPDE driven by Lévy noise ⋮ Existence of Lévy term structure models ⋮ Uniqueness of invariant measures of infinite dimensional stochastic differential equations driven by Lévy noises ⋮ Blow-up of solutions for semilinear stochastic delayed reaction-diffusion equations with Lévy noise ⋮ Study a class of Hilfer fractional stochastic integrodifferential equations with Poisson jumps ⋮ On martingale solutions of stochastic partial differential equations with Lévy noise ⋮ EXISTENCE, UNIQUENESS AND REGULARITY w.r.t. THE INITIAL CONDITION OF MILD SOLUTIONS OF SPDEs DRIVEN BY POISSON NOISE ⋮ The Euler equations of an inviscid incompressible fluid driven by a Lévy noise ⋮ Ergodicity of stochastic 2D Navier-Stokes equation with Lévy noise ⋮ Optimal local Hölder index for density states of superprocesses with \((1+\beta )\)-branching mechanism ⋮ Strong solutions for SPDE with locally monotone coefficients driven by Lévy noise ⋮ Existence Result for Semilinear Fractional Stochastic Evolution Inclusions Driven by Poisson Jumps ⋮ The existence and asymptotic behaviour of solutions to non-Lipschitz stochastic functional evolution equations driven by Poisson jumps ⋮ Global solutions of stochastic 2D Navier-Stokes equations with Lévy noise ⋮ Impulsive Noise Driven One-Dimensional Higher-Order Fractional Partial Differential Equations ⋮ Strong solutions for the stochastic 3D LANS-α model driven by non-Gaussian Lévy noise ⋮ Semi-linear backward stochastic integral partial differential equations driven by a Brownian motion and a Poisson point process

Cites Work

• Existence, uniqueness and regularity of parabolic SPDEs driven by Poisson random measure
• Semigroups of linear operators and applications to partial differential equations
• Study of a SPDE driven by a Poisson noise
• SPDEs in infinite dimension with Poisson noise
• Parabolic SPDEs driven by Poisson white noise
• The heat equation with Lévy noise
• Stochastic partial differential equation driven by stable noise
• The heat equation with time-independent multiplicative stable Lévy noise
• Stochastic partial differential equations driven by Lévy space-time white noise
• A stochastic model of neural response
• Compact Perturbations of m-Accretive Operators in General Banach Spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: SPDEs driven by Poisson random measure with non Lipschitz coefficients: existence results