Frechet-Volterra variational equations, boundary value problems, and function space integrals

DOI10.1007/BF02545767zbMath0145.13402OpenAlexW2093410147WikidataQ101584218 ScholiaQ101584218MaRDI QIDQ2523799

M. D. Donsker, Jacques Louis Lions

Publication date: 1962

Published in: Acta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02545767

zbMATH Keywords

partial differential equations

Related Items (18)

Some examples exhibiting the procedures of renormalization and gauge fixing. - Schwinger-Dyson equations of first order ⋮ A variational approach to edge detection ⋮ Evaluation Formulas for a Conditional Feynman Integral Over Wiener Paths in Abstract Wiener Space ⋮ Conditional function space integrals with applications ⋮ Local and global bivariational gradients and singular variational derivatives of functionals on Cn[a,b] ⋮ Global and local variational derivatives and integral representations of Gateaux differentials ⋮ Pathwise smoothing of Markov processes with noisy observations ⋮ A fractional equation for anomalous diffusion in a randomly heterogeneous porous medium ⋮ Evaluation formulas for conditional abstract wiener integrals ⋮ States on the current algebra ⋮ Fourier transforms in function-space and parabolic differential equations ⋮ On a class of nonlinear stochastic evolution equations ⋮ Conditional Fourier-Feynman Transform and Convolution Product Over Wiener Paths In Abstract Wiener Space ⋮ Conditional analytic Feynman integral over product space of Wiener paths in abstract Wiener space ⋮ A divergence theorem for Gaussian stochastic process expectations ⋮ Existence and uniqueness of solution of some function-space differential equations. II ⋮ Uniqueness of solutions to function-space differential equations using infinite-series and integral methods ⋮ Automated image restoration and segmentation using Mumford-Shah-like regularization and topological asymptotic expansion

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Inversion formulae for characteristic functionals of stochastic processes
• The fundamental solution of the parabolic equation
• The generalized heat flow equation and a corresponding Poisson formula
• Les fonctions aléatoires du type de Markoff associees à certaines équations linéaires aux dérivées partielles du type parabolique
• Remarks on strongly elliptic partial differential equations
• ON THE DISTRIBUTION OF CERTAIN FUNCTIONALS OF MARKOFF CHAINS AND PROCESSES
• Space-Time Approach to Non-Relativistic Quantum Mechanics
• On Distributions of Certain Wiener Functionals
• An Explicit Representation of a Stationary Gaussian Process
• The Theory of Quantized Fields. I
• The First Variation of an Indefinite Wiener Integral
• On a Class of Markov Processes

This page was built for publication: Frechet-Volterra variational equations, boundary value problems, and function space integrals