Multiobjective optimal control of a non-smooth semilinear elliptic partial differential equation

Optimal Control of an Ill Posed Elliptic Semilinear Equation with an Exponential Non Linearity

We study here an optimal control problem for a semilinear elliptic equation with an exponential nonlinearity such that we cannot expect to have a solution of the state equation for any given control We then have to speak of pairs control state After having de ned a suit able functional class in which we look for solutions we prove existence of an optimal pair for a large class of cost functions...

Optimal Control of Semilinear Elliptic Obstacle Problems

Optimal Control of a Delay Partial Differential Equation

Differential equations are one of the most widespread mathematical tools used to describe physical phenomena. Ordinary differential equations (ODE’s) involve a single independent variable, and partial differential equations (PDE’s) are used when more than one independent variable is required. It is not surprising that models used to describe a physical process often involve time as an independe...

Computing Optimal Control with a Quasilinear Parabolic Partial Differential Equation

This paper presents the numerical solution of a constrained optimal control problem (COCP) for quasilinear parabolic equations. The COCP is converted to unconstrained optimization problem (UOCP) by applying the exterior penalty function method. Necessary optimality conditions for the considered problem are established. The computing optimal controls are helped to identify the unknown coefficien...

Computing Optimal Control with a Hyperbolic Partial Differential Equation

We present a method for solving a class of optimal control problems involving hyperbolic partial differential equations. A numerical integration method for the solution of a general linear second-order hyperbolic partial differential equation representing the type of dynamics under consideration is given. The method, based on the piecewise bilinear finite element approximation on a rectangular ...