Stochastic equations of hyperbolic type and a two-parameter Stratonovich calculus

From MaRDI portal
Publication:1161205

DOI10.1214/aop/1176993869zbMath0478.60069OpenAlexW2059717671MaRDI QIDQ1161205

Bruce Hajek

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




Related Items (30)

A diffusion approximation result for two parameter processesThe support of the solution to a hyperbolic SPDEEuler Scheme for a Stochastic Goursat ProblemCalcul 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 planeMarkov processes on the planeQuasi-sure analysis of two-parameter stochastic differential equationsStrong solutions of stochastic differential equations for multiparameter processesErgodicity and invariant measures of some randomly perturbed classical fieldsEstimation 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 PlaneIto formulas for Skorohod and Skorohod-Stratonovich integrals in the two-parameter caseNumerical solutions of some stochastic hyperbolic wave equations including sine-Gordon equationStochastic inclusions and set-valued stochastic equations with mixed integrals in the planeStochastic hyperbolic systems, small perturbations and pathwise approximationStrong scheme for a stochastic Goursat problem.Skorohod and Stratonovich line integrals in the planeAnticipating Hilbert integrals with respect to a cylindrical Wiener process and associated stochastic calculusStrong convergence of stochastic taylor expansions of two-parameter random fieldsOn Estimation of the Mean and Covariance Parameter for Gaussian Random FieldsAlmost sure convergence of stochastic taylor expansions for functions of real-valued two-parameter continuous brownian semimartingalesUnnamed ItemStochastic differential equations on the plane: Smoothness of the solutionQuasi-sure product variation of two-parameter smooth martingales on the Wiener spaceProperties of set-valued integrals and set-valued stochastic equations driven by two-parameter martingalesRepresentation and transformation of two-parameter martingales under a change of measureSome remarks on a linear stochastic differential equationMalliavin calculus for two-parameter Wiener functionalsMalliavin calculus for two-parameter Wiener functionalsStochastic integration on partially ordered sets




This page was built for publication: Stochastic equations of hyperbolic type and a two-parameter Stratonovich calculus