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When Bingham meets Bratu: mathematical and computational investigations

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......

SECOND ORDER NECESSARY CONDITIONS FOR OPTIMAL CONTROL PROBLEMS OF EVOLUTION EQUATIONS INVOLVING FINAL POINT EQUALITY CONSTRAINTS

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 ......

Controllability Gramian and Kalman rank condition for mean-field control systems

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......

Minimal time control of exact synchronization for parabolic systems***

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.......

Global gradient estimates for nonlinear parabolic operators

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......

Robust linear quadratic mean field social control: A direct approach

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......

Mean field approach to stochastic control with partial information

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......

Strong rates of convergence for a space-time discretization of the backward stochastic heat equation, and of a linear-quadratic control problem for the stochastic heat equation

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......

Second order optimality conditions for periodic optimal control problems governed by semilinear parabolic differential equations

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......

Open-loop and closed-loop solvabilities for stochastic linear quadratic optimal control problems of Markovian regime switching system*

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......

Mean-field linear-quadratic stochastic differential games in an infinite horizon

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 ......

CYLINDRICAL OPTIMAL REARRANGEMENT PROBLEM LEADING TO A NEW TYPE OBSTACLE PROBLEM (vol 24, pg 859, 2018)

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.

Linear-quadratic optimal control for backward stochastic differential equations with random coefficients

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......

Optimal energy decay rates for abstract second order evolution equations with non-autonomous damping*

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......

The difference and unity of irregular LQ control and standard LQ control and its solution

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......

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