Stochastic Partial Differential Equations and Applications II

Luciano Tubaro

ISBN 10: 3540515100 / ISBN 13: 9783540515104

Published by Springer Berlin Heidelberg, Springer Berlin Heidelberg Aug 1989, 1989

About this Item

Neuware -A covariant Feynman-Kac formula for unitary bundles over euclidean space.- On the integrated formulation of Zakai and Kushner equations.- Lattice approximation in the stochastic quantization of ( 4)2 fields1.- The support of the density of a filter in the uncorrelated case.- Variational inequalities for the control of stochastic partial differential equations.- Generalized solutions of stochastic evolution equations.- On the relation of anticipative Stratonovich and symetric integrals: A decomposition formula.- Some applications of quantum probability to stochastic differential equations in Hilbert space.- The stability of stochastic partial differential equations and applications. Theorems on supports.- Weak convergence of solutions of stochastic evolution equations on nuclear spaces.- A stochastic reaction-diffusion model.- Stochastic partial differential equations of generalized Brownian functionals.- Viscosity solutions of fully nonlinear second order equations and optimal stochastic control in infinite dimensions. Part II: Optimal control of Zakai's equation.- A generalized equation for a continuous measure branching process.- Mesures cylindriques et distributions sur l'espace de Wiener.- A summary of some identities of the Malliavin calculus.- A Lie algebraic criterion for non-existence of finite dimensionally computable filters.- A generalization of Wahba's theorem on the equivalence between spline smoothing and Bayesian estimation.- A connection between the expansion of filtrations and Girsanov's theorem.- White noise in space and time as the time-derivative of a cylindrical Wiener process.- Large deviations for non-linear radonifications of white noise.- Symmetric solutions of semilinear stochastic equations. 276 pp. Englisch.

Seller Inventory # 9783540515104

Bibliographic Details

• Title: Stochastic Partial Differential Equations and Applications II
• Publisher: Springer Berlin Heidelberg, Springer Berlin Heidelberg Aug 1989
• Publication Date: 1989
• Language: English
• ISBN 10: 3540515100
• ISBN 13: 9783540515104
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 16D millimeters 235 millimeters width by 155 millimeters height by 16 millimeters depth
• Weight: 423 grams

About this title

Synopsis

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.

Review

"The book contains 25 contributions (of about twenty pages each) including new results as well as surveys and reviews of problems in questions so that the reader can get a feeling of what is the up-to-date state of knowledge in the respective areas. This is why the book can serve as a source for new ways of research as well as a digest for professionals working in SPDE's." - Mathematica Bohemia