Analysis and Optimization of Differential Systems

Compactness and long-time stabilization of solutions to phase-field models.- PDEs in the inverse problem of dynamics.- Existence and asymptotic behavior for some difference equations associated with accretive operators.- Convergence rate of a multiplicative Schwarz method for strongly nonlinear variational inequalities.- New results about the H-measure of a set.- Positional modeling in a system with time delay.- Uniform stability of a coupled system of hyperbolic/parabolic PDE's with internal dissipation.- Existence of strong solutions of fully nonlinear elliptic equations.- Free boundary conditions for intrinsic shell models.- Error estimates for linear-quadratic elliptic control problems.- Relaxation for quasi-linear differential inclusions in non separable Banach spaces.- Determining functionals for a class of second order in time evolution equations with applications to von Karman equations.- On some cases of Cauchy problem.- Iterative procedure for stabilizing solutions of differential Riccati type equations arising in stochastic control.- Recursive deconvolution: an overview of some recent results.- Determining a semilinear parabolic PDE from final data.- About a generalized algebraic Riccati equation.- On the dynamics of contracting relations.- Level set methods for a parameter identification problem.- Factorization of elliptic boundary value problems: the QR approach.- Smooth mappings and non Ft-adapted solutions associated with Hamilton-Iacobi stochastic equations.- On the Sobolev boundary value problem with singular and regularized boundary conditions for elliptic equations.- On some optimization problem with non-quadratic criterion.- Nonconservative Schrödinger equations with unobserved Neumann B.C.: Global uniqueness and observability in one shot.-Optimal flow in dynamic networks with nonlinear cost functions on edges.- Method of extremal shift in problems of reconstruction of an input for parabolic variational inequalities.- Flow-invariance properties