期刊: ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2021; 27 ()
In this article, we discuss the numerical solution of the Bingham-Bratu-Gelfand (BBG) problem, a non-smooth nonlinear eigenvalue problem associated wi......
期刊: ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2021; 27 ()
We establish some second order necessary conditions for optimal control problems of evolution equations involving final point equality and inequality ......
期刊: ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2021; 27 ()
This paper is concerned with the exact controllability of linear mean-field stochastic systems with deterministic coefficients. With the help of the t......
期刊: ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2021; 27 ()
This paper studies a kind of minimal time control problems related to the exact synchronization for a controlled linear system of parabolic equations.......
期刊: ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2021; 27 ()
We consider a parabolic equation driven by a nonlinear diffusive operator and we obtain a gradient estimate in the domain where the equation takes pla......
期刊: ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2021; 27 ()
This paper investigates a robust linear quadratic mean field team control problem. The model involves a global uncertainty drift which is common for a......
期刊: ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2021; 27 ()
In our present article, we follow our way of developing mean field type control theory in our earlier works [Bensoussan et al., Mean Field Games and M......
期刊: ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2021; 27 ()
We verify strong rates of convergence for a time-implicit, finite-element based space-time discretization of the backward stochastic heat equation, an......
期刊: ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2021; 27 ()
In this paper, we study second-order optimality conditions for some optimal control problems governed by some semi-linear parabolic equations with per......
期刊: ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2021; 27 ()
This paper investigates the stochastic linear quadratic (LQ, for short) optimal control problem of Markovian regime switching system. The representati......
期刊: ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2021; 27 ()
This paper is concerned with two-person mean-field linear-quadratic non-zero sum stochastic differential games in an infinite horizon. Both open-loop ......
期刊: ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2021; 27 ()
A mistake in the proof of the Theorem 5.5 on page 870 in [H. Mikayelyan, ESAIM: COCV 24 (2018) 859-872] has been found.
期刊: ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2021; 27 ()
This paper is concerned with a linear-quadratic (LQ, for short) optimal control problem for backward stochastic differential equations (BSDEs, for sho......
期刊: ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2021; 27 ()
We consider an abstract second order non-autonomous evolution equation in a Hilbert space H : u '' + Au + gamma(t)u ' + f(u) = 0, where A is a self-ad......
期刊: ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2021; 27 ()
Irregular linear quadratic control (LQ, was called Singular LQ) has been a long-standing problem since 1970s. This paper will show that an irregular L......