EXISTENCE, UNIQUENESS AND REGULARITY w.r.t. THE INITIAL CONDITION OF MILD SOLUTIONS OF SPDEs DRIVEN BY POISSON NOISE
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Publication:3560055
DOI10.1142/S0219025710003985zbMath1196.60117MaRDI QIDQ3560055
Publication date: 19 May 2010
Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)
mild solutionsGateaux differentialbility w.r.t initial conditionstochastic integration w.r.t. Poisson random measuresstochastic partial differential equations with Poisson noise
Related Items (5)
Some refinements of existence results for SPDEs driven by Wiener processes and Poisson random measures ⋮ Yosida approximations for multivalued stochastic partial differential equations driven by Lévy noise on a Gelfand triple ⋮ Weak Convergence of Finite Element Approximations of Linear Stochastic Evolution Equations with Additive Lévy Noise ⋮ Wave equation in the plane driven by a general stochastic measure ⋮ DISCONTINUITY OF FOURIER TRANSFORMS OF POISSONIAN TYPE COUNTABLY ADDITIVE MEASURES
Cites Work
- Unnamed Item
- Unnamed Item
- Existence, uniqueness and regularity of parabolic SPDEs driven by Poisson random measure
- SPDEs driven by Poisson random measure with non Lipschitz coefficients: existence results
- Semigroups of linear operators and applications to partial differential equations
- Infinite dimensional stochastic differential equation models for spatially distributed neurons
- Semimartingales: A course on stochastic processes
- Parabolic SPDEs driven by Poisson white noise
- The heat equation with Lévy noise
- Stochastic flows of diffeomorphisms on manifolds driven by infinite-dimensional semimartingales with jumps.
- Term Structure Models Driven by General Levy Processes
- A stochastic model of neural response
- Ergodicity for Infinite Dimensional Systems
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