\(L^p\) estimates for the uniform norm of solutions of quasilinear SPDE's
From MaRDI portal
Publication:2575674
DOI10.1007/s00440-005-0436-5zbMath1085.60043OpenAlexW1981007600MaRDI QIDQ2575674
Laurent Denis, Anis Matoussi, Lucretiu Stoica
Publication date: 6 December 2005
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00440-005-0436-5
Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Martingales and classical analysis (60G46)
Related Items (30)
The existence and uniqueness result for quasilinear stochastic PDEs with obstacle under weaker integrability conditions ⋮ Hölder estimates of mild solutions for nonlocal SPDEs ⋮ Stochastic Volterra equations in Banach spaces and stochastic partial differential equation ⋮ Global existence and finite time blow-up for a stochastic non-local reaction-diffusion equation ⋮ Maximum principle for quasi-linear reflected backward SPDEs ⋮ Schauder estimates for stochastic transport-diffusion equations with Lévy processes ⋮ BMO and Morrey-Campanato estimates for stochastic convolutions and Schauder estimates for stochastic parabolic equations ⋮ On the small time asymptotics of quasilinear parabolic stochastic partial differential equations ⋮ Well-posedness theory for stochastically forced conservation laws on Riemannian manifolds ⋮ The parametrix method for parabolic SPDEs ⋮ Hölder continuous of the solutions to stochastic nonlocal heat equations ⋮ On the quasi-linear reflected backward stochastic partial differential equations ⋮ The obstacle problem for quasilinear stochastic PDEs: analytical approach ⋮ A stochastically perturbed mean curvature flow by colored noise ⋮ On the Cauchy problem for stochastic parabolic equations in Hölder spaces ⋮ Regularity theory for nonlinear systems of SPDEs ⋮ Finite-time blowup and existence of global positive solutions of a semi-linear SPDE ⋮ Degenerate parabolic stochastic partial differential equations: quasilinear case ⋮ \(W^{2, p}\)-solutions of parabolic SPDEs in general domains ⋮ The second-order parabolic PDEs with singular coefficients and applications ⋮ \(L^2\)-theory of linear degenerate SPDEs and \(L^p ( p > 0)\) estimates for the uniform norm of weak solutions ⋮ Strong solutions of forward-backward stochastic differential equations with measurable coefficients ⋮ Maximum principle for quasi-linear backward stochastic partial differential equations ⋮ A Bismut-Elworthy inequality for a Wasserstein diffusion on the circle ⋮ On the Campanato and Hölder regularity of local and nonlocal stochastic diffusion equations ⋮ Supremum estimates for degenerate, quasilinear stochastic partial differential equations ⋮ \(L^p\)-strong solutions of stochastic partial differential equations with monotonic drifts ⋮ On the boundedness of solutions of SPDEs ⋮ The obstacle problem for quasilinear stochastic PDEs with non-homogeneous operator ⋮ On inviscid limits for the stochastic Navier-Stokes equations and related models
Cites Work
- Dirichlet forms and analysis on Wiener space
- White noise driven quasilinear SPDEs with reflection
- Generalized solutions of a stochastic partial differential equation
- Backward doubly stochastic differential equations and systems of quasilinear SPDEs
- Dirichlet forms and symmetric Markov processes
- A general analytical result for non-linear {SPDE}'s and applications
- Backward stochastic differential equations associated to a symmetric Markov process
- On \(L^ {p}\)-solutions of semilinear stochastic partial differential equations.
- Local behavior of solutions of quasilinear parabolic equations
- On Harnack's theorem for elliptic differential equations
- Stochastic partial differential equations and filtering of diffusion processes
- Weak solutions for SPDE's and backward doubly stochastic differential equations
- Stochastic PDEs driven by nonlinear noise and backward doubly SDEs
- Stochastic Equations in Infinite Dimensions
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: \(L^p\) estimates for the uniform norm of solutions of quasilinear SPDE's
