Optimization, Optimal Control and Partial Differential Equations

Inhaltsverzeichnis

• Variational methods in mechanics and physical models.
• Fluid flows in dielectric porous media.
• The impact of a jet with two fluids on a porous wall.
• Critical point methods in nonlinear eigenvalue problems with discontinuities.
• Maximum principles for elliptic systems.
• Exponential dichotomy of evolution operators in Banach spaces.
• Asymptotic properties of solutions to evolution equations.
• On some nonlinear elastic waves biperiodical or almost periodical in mechanics and extensions hyperbolic nonlinear partial differential equations.
• The controllability of infinite dimensional and distributed parameter systems.
• Singularities in boundary value problems and exact controllability of hyperbolic systems.
• Exact controllability of a shallow shell model.
• Inverse problem: Identification of a melting front in the 2D case.
• Micro-local approach to the control for the plates equation.
• Bounded solutions for controlled hyperbolic systems.
• Controllability and turbulence.
• The H? control problem.
• The H? boundary control with state feedback; the hyperbolic case.
• Remarks on the theory of robust control.
• The dynamic programming method.
• Optimality and characteristics of Hamilton-Jacobi-Bellman equations.
• Verification theorems of dynamic programming type in optimal control.
• Isaacs’ equations for value-functions of differential games.
• Optimal control for robot manipulators.
• Control theory and environmental problems: Slow fast models for management of renewable ressources.
• On the Riccati equations of stochastic control.
• Optimal control of nonlinear partial differential equations.
• A boundary Pontryagin’s principle for the optimal control of state-constrained elliptic systems.
• Controllability properties for elliptic systems, the fictitious domain method and optimalshape design problems.
• Optimal control for elliptic equation and applications.
• Inverse problems for variational inequalities.
• The variation of the drag with respect to the domain in Navier-Stokes flow,.
• Mathematical programming and nonsmooth optimization.
• Scalar minimax properties in vectorial optimization.
• Least-norm regularization for weak two-level optimization problems.
• Continuity of the value function with respect to the set of constraints.
• On integral inequalities involving logconcave functions.
• Numerical solution of free boundary problems in solids mechanics.
• Authors’ index.