Stochastic Partial Differential Equations and Applications II: Proceedings of a Conference held in Trento, Italy February 1–6, 1988 [1 ed.]
9780387515106, 0-387-51510-0 [DJVU]
Table of contents : A covariant Feynman-Kac formula for unitary bundles over euclidean space....Pages 1-12 On the integrated formulation of Zakai and Kushner equations....Pages 13-23 Lattice approximation in the stochastic quantization of (φ 4 ) 2 fields 1 ....Pages 24-32 The support of the density of a filter in the uncorrelated case....Pages 33-41 Variational inequalities for the control of stochastic partial differential equations....Pages 42-52 Generalized solutions of stochastic evolution equations....Pages 53-65 On the relation of anticipative Stratonovich and symetric integrals: A decomposition formula....Pages 66-76 Some applications of quantum probability to stochastic differential equations in Hilbert space....Pages 77-90 The stability of stochastic partial differential equations and applications. Theorems on supports....Pages 91-118 Weak convergence of solutions of stochastic evolution equations on nuclear spaces....Pages 119-131 A stochastic reaction-diffusion model....Pages 132-137 Stochastic partial differential equations of generalized Brownian functionals....Pages 138-146 Viscosity solutions of fully nonlinear second order equations and optimal stochastic control in infinite dimensions. Part II: Optimal control of Zakai's equation....Pages 147-170 A generalized equation for a continuous measure branching process....Pages 171-185 Mesures cylindriques et distributions sur l'espace de Wiener....Pages 186-191 A summary of some identities of the Malliavin calculus....Pages 192-196 A Lie algebraic criterion for non-existence of finite dimensionally computable filters....Pages 197-204 A generalization of Wahba's theorem on the equivalence between spline smoothing and Bayesian estimation....Pages 205-220 A connection between the expansion of filtrations and Girsanov's theorem....Pages 221-224 White noise in space and time as the time-derivative of a cylindrical Wiener process....Pages 225-229 Large deviations for non-linear radonifications of white noise....Pages 230-236 Symmetric solutions of semilinear stochastic equations....Pages 237-256