Stochastic Partial Differential Equations and Applications: Proceedings of a Conference Held in Trento, Italy, September 30 - October 5, 1985

ISBN-13: 9783540172116 / Angielski / Miękka / 1987 / 264 str.

Giuseppe Da Prato; Luciano Tubaro

Opis

Based on the proceedings of the International Conference on Stochastic Partial Differential Equations and Applications-V held in Trento, Italy, this illuminating reference presents applications in filtering theory, stochastic quantization, quantum probability, and mathematical finance and identifies paths for future research in the field. Stochastic Partial Differential Equations and Applications analyzes recent developments in the study of quantum random fields, control theory, white noise, and fluid dynamics. It presents precise conditions for nontrivial and well-defined scattering, new Gaussian noise terms, models depicting the asymptotic behavior of evolution equations, and solutions to filtering dilemmas in signal processing. With contributions from more than 40 leading experts in the field, Stochastic Partial Differential Equations and Applications is an excellent resource for pure and applied mathematicians; numerical analysts; mathematical physicists; geometers; economists; probabilists; computer scientists; control, electrical, and electronics engineers; and upper-level undergraduate and graduate students in these disciplines.

Spis treści

Existence and uniqueness results for a non linear stochastic partial differential equation.- Continuity in non linear filtering some different approacees.- Expectation functionals associated with some stochastic evolution equations.- Dirichlet boundary value problem and optimal control for a stochastic distributed parameter system.- Stochastic product integration and stochastic equations.- Some remarks on a problem in stochastic optimal control.- Passage from two-parameters to infinite dimension.- The heat equation and fourier transforms of generalized brownian functionals.- The separation principle for stochastic differential equations with unbounded coefficients.- Weak convergence of measure valued processes using sobolev-imbedding techniques.- Probability distributions of solutions to some stochastic partial differential equations.- Two-sided stochastic calculus for spdes.- Convergence of implicit discretization schemes for linear differential equations with application to filtering.- Some applications of the Malliavin calculus to stochastic analysis.- Exit problem for infinite dimensional systems.