Stochastic equations of hyperbolic type and a two-parameter Stratonovich calculus
From MaRDI portal
Publication:1161205
DOI10.1214/aop/1176993869zbMath0478.60069OpenAlexW2059717671MaRDI QIDQ1161205
Publication date: 1982
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aop/1176993869
Diffusion processes (60J60) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)
Related Items (30)
A diffusion approximation result for two parameter processes ⋮ The support of the solution to a hyperbolic SPDE ⋮ Euler Scheme for a Stochastic Goursat Problem ⋮ Calcul stochastique non adapté pour des processus à deux paramètres: Formules de changement de variables de type Stratonovitch et de type Skorohod. (Anticipative stochastic calculus for processes with two parameters: Change of variables formulae of Stratonovich and of Skorokhod type) ⋮ Nonlinear stochastic integral equations in the plane ⋮ Markov processes on the plane ⋮ Quasi-sure analysis of two-parameter stochastic differential equations ⋮ Strong solutions of stochastic differential equations for multiparameter processes ⋮ Ergodicity and invariant measures of some randomly perturbed classical fields ⋮ Estimation de Varadhan pour des diffusions à deux paremètres. (Varadhan estimator for two-parameter diffusions) ⋮ A Regularity Condition for Non-Markovian Solutions of Stochastic Differential Equations in the Plane ⋮ Ito formulas for Skorohod and Skorohod-Stratonovich integrals in the two-parameter case ⋮ Numerical solutions of some stochastic hyperbolic wave equations including sine-Gordon equation ⋮ Stochastic inclusions and set-valued stochastic equations with mixed integrals in the plane ⋮ Stochastic hyperbolic systems, small perturbations and pathwise approximation ⋮ Strong scheme for a stochastic Goursat problem. ⋮ Skorohod and Stratonovich line integrals in the plane ⋮ Anticipating Hilbert integrals with respect to a cylindrical Wiener process and associated stochastic calculus ⋮ Strong convergence of stochastic taylor expansions of two-parameter random fields ⋮ On Estimation of the Mean and Covariance Parameter for Gaussian Random Fields ⋮ Almost sure convergence of stochastic taylor expansions for functions of real-valued two-parameter continuous brownian semimartingales ⋮ Unnamed Item ⋮ Stochastic differential equations on the plane: Smoothness of the solution ⋮ Quasi-sure product variation of two-parameter smooth martingales on the Wiener space ⋮ Properties of set-valued integrals and set-valued stochastic equations driven by two-parameter martingales ⋮ Representation and transformation of two-parameter martingales under a change of measure ⋮ Some remarks on a linear stochastic differential equation ⋮ Malliavin calculus for two-parameter Wiener functionals ⋮ Malliavin calculus for two-parameter Wiener functionals ⋮ Stochastic integration on partially ordered sets
This page was built for publication: Stochastic equations of hyperbolic type and a two-parameter Stratonovich calculus