Approximations to mild solutions of stochastic semilinear equations with non-Lipschitz coefficients

DOI10.1023/A:1021723421437zbMath1001.60068OpenAlexW1538063307MaRDI QIDQ3151378

Dorel Barbu, Gheorghe Bocşan

Publication date: 15 October 2002

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/30687

zbMATH Keywords

mild solutionPicard approximations

Mathematics Subject Classification ID

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

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Successive approximation to solutions of stochastic differential equations with jumps in local non-Lipschitz conditions ⋮ On the non-Lipschitz stochastic differential equations driven by fractional Brownian motion ⋮ The existence and uniqueness of energy solutions to local non-Lipschitz stochastic evolution equations ⋮ The existence and uniqueness of mild solutions to stochastic differential equations with Lévy noise ⋮ Approximate mild solutions of fractional stochastic evolution equations in Hilbert spaces ⋮ Gradient estimates for stochastic evolution equations with non-Lipschitz coefficients ⋮ Approximate controllability of backward stochastic evolution equations in Hilbert spaces ⋮ Existence of Weak Solutions to Stochastic Evolution Inclusions ⋮ Existence and dependence results for semilinear functional stochastic differential equations with infinite delay in a Hilbert space ⋮ The non-Lipschitz stochastic Cahn–Hilliard–Navier–Stokes equations in two space dimensions ⋮ Approximate solutions for neutral stochastic fractional differential equations ⋮ Existence and Uniqueness for a Class of SPDEs Driven by L'{e}vy Noise in Hilbert Spaces ⋮ The existence of energy solutions to 2-dimensional non-Lipschitz stochastic Navier-Stokes equations in unbounded domains ⋮ Existence and exponential stability for impulsive stochastic partial functional differential equations ⋮ Ergodicity of linear SPDE driven by Lévy noise ⋮ Existence of weak solutions to stochastic evolution inclusions ⋮ Faedo-Galerkin approximate solutions for stochastic semilinear integrodifferential equations ⋮ Existence and Uniqueness Results for Neutral SDEs in Hilbert Spaces ⋮ The existence and asymptotic behaviour of solutions to non-Lipschitz stochastic functional evolution equations driven by Poisson jumps ⋮ Impulsive-integral inequality and exponential stability for stochastic partial differential equations with delays ⋮ Unnamed Item ⋮ Non Autonomous Semilinear Stochastic Evolution Equations

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