A smooth variational principle with applications to Hamilton-Jacobi equations in infinite dimensions
From MaRDI portal
Publication:1803344
DOI10.1006/jfan.1993.1009zbMath0774.49021OpenAlexW2091575104MaRDI QIDQ1803344
Gilles Godefroy, Robert Deville, Václav Zizler
Publication date: 29 June 1993
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jfan.1993.1009
Related Items
Smooth approximation of convex functions in Banach spaces ⋮ Stability of subdifferentials of nonconvex functions in Banach spaces ⋮ Graphical methods in first and second-order differentiability theory of integral functionals ⋮ Pareto Optimizing and Kuhn–Tucker Stationary Sequences ⋮ Smooth variational principles in Radon-Nikodým spaces ⋮ Unnamed Item ⋮ Strong peak points and strongly norm attaining points with applications to denseness and polynomial numerical indices ⋮ Smooth approximation of Lipschitz functions on Riemannian manifolds ⋮ Perturbation method for a non-convex integral functional ⋮ Norm attaining operators and variational principle ⋮ The subdifferential of the sum of two functions in Banach spaces II. Second order case ⋮ AN EXTENSION OF THE BANACH–STONE THEOREM ⋮ Halmos problems and related results in the theory of invariant subspaces ⋮ Variational principles for maximization problems with lower-semicontinuous goal functions ⋮ Equivalence of minimax and viscosity solutions of path-dependent Hamilton-Jacobi equations ⋮ Compact and limited operators ⋮ Approximation and Gâteaux differentiability of convex function in Banach spaces ⋮ Variational principles in non-metrizable spaces ⋮ Perturbed optimization on product spaces ⋮ On the existence, uniqueness, and stability of \(\beta\)-viscosity solutions to a class of Hamilton-Jacobi equations in Banach spaces ⋮ Unnamed Item ⋮ A random variational principle with application to weak Hadamard differentiability of convex integral functionals ⋮ A class of Hamilton-Jacobi equations on Banach-Finsler manifolds ⋮ Variational principles for supinf problems with constraints ⋮ \(A_1\) Fefferman-Stein inequality for maximal functions of martingales in uniformly smooth spaces ⋮ Generic Gateaux differentiability via smooth perturbations ⋮ Necessary conditions for constrained optimization problems with semicontinuous and continuous data ⋮ On the Krein-Milman-Ky Fan theorem for convex compact metrizable sets ⋮ Porosity and differentiability in smooth Banach spaces ⋮ A linear perturbed Palais-Smale condition for lower semicontinuous functions on Banach spaces ⋮ Approximation of convex functions on the dual of Banach spaces ⋮ A non-convex analogue to Fenchel duality ⋮ First-order rules for nonsmooth constrained optimization ⋮ Fragmentability of sequences of set-valued mappings with applications to variational principles ⋮ Variational principles and topological games ⋮ Well posedness and inf-convolution ⋮ Mean Value Property and Subdifferential Criteria for Lower Semicontinuous Functions ⋮ Gâteaux differentiability and uniform monotone approximation of convex functions in Banach spaces ⋮ Strongly Convex Functions, Moreau Envelopes, and the Generic Nature of Convex Functions with Strong Minimizers ⋮ Pareto optimizing and scalarly stationary sequences ⋮ The multidirectional mean value inequalities with second order information ⋮ A generalized multidirectional mean value inequality and dynamic optimization ⋮ On the equivalence of some basic principles in variational analysis ⋮ Calmness properties and contingent subgradients of integral functionals on Lebesgue spaces \(L_{p }, 1 \leqslant p < \infty \) ⋮ Uniform approximation of convex function in smooth Banach spaces ⋮ A generalization of Ekeland's \(\varepsilon\)-variational principle and its Borwein-Preiss smooth variant ⋮ Uniqueness of \(\beta\)-viscosity solutions of Hamilton-Jacobi equations and applications to a class of optimal control problems ⋮ Multi-variational principle, minimax theorem, and applications ⋮ Variational pairs and applications to stability in nonsmooth analysis.
This page was built for publication: A smooth variational principle with applications to Hamilton-Jacobi equations in infinite dimensions