Backward doubly stochastic differential equations and SPDEs with quadratic growth
type: Item
instance of: scholarly article
title: Backward doubly stochastic differential equations and SPDEs with quadratic growth
zbMATH Open document ID: 1544.60067
author: Ying Hu
author: Jiaqiang Wen
author: Jie Xiong
published in: Stochastic Processes and their Applications
publication date: 2024-09-02T00:00:00Z
Mathematics Subject Classification ID: 60H10
Mathematics Subject Classification ID: 60H15
Mathematics Subject Classification ID: 60H30
zbMATH DE Number: 7904808
zbMATH Keywords: backward doubly stochastic differential equation
zbMATH Keywords: stochastic partial differential equation
zbMATH Keywords: quadratic growth
zbMATH Keywords: Feynman-Kac formula
zbMATH Keywords: Sobolev solution
MaRDI profile type: Publication
cites work: Quadratic BSDE with \(\mathbb{L}^{2}\)-terminal data: Krylov's estimate, Itô-Krylov's formula and existence results
cites work: Backward doubly SDEs and SPDEs with superlinear growth generators
cites work: Weak solutions for SPDE's and backward doubly stochastic differential equations
cites work: Uniqueness and the maximum principle for quasilinear elliptic equations with quadratic growth conditions
cites work: Monotone stability of quadratic semimartingales with applications to unbounded general quadratic BSDEs
cites work: Generalized backward doubly stochastic differential equations and SPDEs with nonlinear Neumann boundary conditions
cites work: BSDE with quadratic growth and unbounded terminal value
cites work: Quadratic BSDEs with convex generators and unbounded terminal conditions
cites work: Stochastic viscosity solutions for nonlinear stochastic partial differential equations. I
cites work: Stochastic viscosity solutions for nonlinear stochastic partial differential equations. II.
cites work: Multidimensional quadratic and subquadratic BSDEs with special structure
cites work: Backward SDEs with superquadratic growth
cites work: Backward Stochastic Differential Equations in Finance
cites work: Strong uniqueness for an SPDE via backward doubly stochastic differential equations
cites work: Maximum Principle for Backward Doubly Stochastic Control Systems with Applications
cites work: Anticipated backward stochastic differential equations with quadratic growth
cites work: Wong-Zakai approximations of backward doubly stochastic differential equations
cites work: Multi-dimensional backward stochastic differential equations of diagonally quadratic generators
cites work: Backward stochastic differential equations and partial differential equations with quadratic growth.
cites work: Backward stochastic differential equations with continuous coefficient
cites work: Quadratic BSDEs driven by a continuous martingale and applications to the utility maximization problem
cites work: The Malliavin Calculus and Related Topics
cites work: Adapted solution of a backward stochastic differential equation
cites work: Q4029028
cites work: Backward doubly stochastic differential equations and systems of quasilinear SPDEs
cites work: Open problems on backward stochastic differential equations
cites work: Markovian quadratic and superquadratic BSDEs with an unbounded terminal condition
cites work: Comparison Theorems of Backward Doubly Stochastic Differential Equations and Applications
cites work: Backward doubly stochastic Volterra integral equations and their applications
cites work: Forward-backward doubly stochastic systems and classical solutions of path-dependent stochastic PDEs
cites work: Solvability of backward stochastic differential equations with quadratic growth
cites work: BDSDEs with locally monotone coefficients and Sobolev solutions for SPDEs
cites work: A class of globally solvable Markovian quadratic BSDE systems and applications
cites work: Super-Brownian motion as the unique strong solution to an SPDE
cites work: Q4255599
cites work: Backward Stochastic Differential Equations
cites work: Stationary solutions of SPDEs and infinite horizon BDSDEs
cites work: Stationary solutions of SPDEs and infinite horizon BDSDEs with non-Lipschitz coefficients
cites work: Backward doubly stochastic differential equations with polynomial growth coefficients
DOI: 10.1016/J.SPA.2024.104405
description: scientific article; zbMATH DE number 7904808