Existence, uniqueness and space regularity of the adapted solutions of a backward spde
From MaRDI portal
Publication:4342429
DOI10.1080/07362999608809451zbMath0876.60044OpenAlexW2063403490MaRDI QIDQ4342429
Publication date: 3 July 1997
Published in: Stochastic Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/07362999608809451
Related Items (34)
Nonlinear Kolmogorov equations in infinite dimensional spaces: the backward stochastic differential equations approach and applications to optimal control ⋮ Some Results on Nonlinear Backward Stochastic Evolution Equations ⋮ Non-Linear Time-Advanced Backward Stochastic Partial Differential Equations With Jumps ⋮ Sufficient conditions for optimality for stochastic evolution equations ⋮ A revisit to \(W^n_2\)-theory of super-parabolic backward stochastic partial differential equations in \(\mathbb R^d\) ⋮ A semidiscrete Galerkin scheme for backward stochastic parabolic differential equations ⋮ Approximate controllability of backward stochastic evolution equations in Hilbert spaces ⋮ Optimal bilinear control of nonlinear stochastic Schrödinger equations driven by linear multiplicative noise ⋮ On backward stochastic evolution equations in Hilbert spaces and optimal control ⋮ Null controllability for a class of stochastic singular parabolic equations with the convection term ⋮ Strong solution of backward stochastic partial differential equations in \(C ^{2}\) domains ⋮ Solvability of forward-backward stochastic partial differential equations ⋮ Some results on the controllability of forward stochastic heat equations with control on the drift ⋮ Necessary stochastic maximum principle for dissipative systems on infinite time horizon ⋮ Optimal bilinear control of stochastic nonlinear Schrödinger equations: mass-(sub)critical case ⋮ Stochastic optimal control for backward stochastic partial differential systems ⋮ Approximation of backward stochastic partial differential equations by a splitting-up method ⋮ Optimal control for the stochastic Fitzhugh-Nagumo model with recovery variable ⋮ Optimal distributed and tangential boundary control for the unsteady stochastic Stokes equations ⋮ On the quasi-linear reflected backward stochastic partial differential equations ⋮ A dual representation result for value functions in stochastic control of infinite dimensional groups ⋮ A stochastic maximum principle for control problems constrained by the stochastic Navier-Stokes equations ⋮ Finite Element Methods for Nonlinear Backward Stochastic Partial Differential Equations and Their Error Estimates ⋮ Stochastic maximum principle for optimal control of SPDEs ⋮ On a class of forward-backward stochastic differential systems in infinite dimensions ⋮ Backward stochastic partial differential equations with quadratic growth ⋮ Necessary conditions for optimality for stochastic evolution equations ⋮ Approximate controllability for linear stochastic differential equations in infinite dimensions ⋮ Null controllability of an infinite dimensional SDE with state- and control-dependent noise ⋮ Stochastic Maximum Principle for Optimal Control of a Class of Nonlinear SPDEs with Dissipative Drift ⋮ Controlled reflected SDEs and Neumann problem for backward SPDEs ⋮ Optimal control of stochastic FitzHugh–Nagumo equation ⋮ \(L^2\)-regularity of solutions to linear backward stochastic heat equations, and a numerical application ⋮ Some results on backward stochastic differential equations of fractional order
Cites Work
- Unnamed Item
- Unnamed Item
- Adapted solution of a backward stochastic differential equation
- Semigroups of linear operators and applications to partial differential equations
- Backward stochastic differential equations and applications to optimal control
- Un'applicazione della teoria degli integrali singolari allo studio delle equazioni differenziali lineari astratte del primo ordine
- A General Stochastic Maximum Principle for Optimal Control Problems
- Maximum principle for semilinear stochastic evolution control systems
- Adapted solution of a backward semilinear stochastic evolution equation
- Stochastic Hamilton–Jacobi–Bellman Equations
- A Generalized dynamic programming principle and hamilton-jacobi-bellman equation
This page was built for publication: Existence, uniqueness and space regularity of the adapted solutions of a backward spde