Projection iterative schemes for general variational inequalities.
Projection methods for retarded functional differential equations
Projection on a cone and generalized penalty functionals for problems with constraints in Hilbert space
Projective Reeds-Shepp car on S2 with quadratic cost
Fix two points and two directions (without orientation) of the velocities in these points. In this paper we are interested to the problem of minimizing the cost along all smooth curves starting from x with direction η and ending in with direction . Here g is the standard Riemannian metric on S2 and is the corresponding geodesic curvature. The interest of this problem comes from mechanics and geometry of vision. It can be formulated as a sub-Riemannian problem on the lens space L(4,1). We...
Prolongement des jeux à deux joueurs de somme nulle. Une théorie abstraite des duels
Proof of the double bubble conjecture.
Propagazione dei massimi e unicità di soluzioni di viscosità di equazioni completamente non lineari del primo e del secondo ordine
Proper orthogonal decomposition for optimality systems
Proper orthogonal decomposition (POD) is a powerful technique for model reduction of non-linear systems. It is based on a Galerkin type discretization with basis elements created from the dynamical system itself. In the context of optimal control this approach may suffer from the fact that the basis elements are computed from a reference trajectory containing features which are quite different from those of the optimally controlled trajectory. A method is proposed which avoids this problem of unmodelled...
Properties of projection and penalty methods for discretized elliptic control problems
In this paper, properties of projection and penalty methods are studied in connection with control problems and their discretizations. In particular, the convergence of an interior-exterior penalty method applied to simple state constraints as well as the contraction behavior of projection mappings are analyzed. In this study, the focus is on the application of these methods to discretized control problem.
Properties of solutions to second order evolution control systems. I.
Properties of solutions to second order evolution control systems. II.
Proprietà della convessificazione
Proprietà fini delle funzioni con deformazione limitata ed applicazioni a problemi variazionali
Proto-derivatives of partial subgradient mappings.
Proto-differentiability of set-valued mappings and its applications in optimization
Proximal smoothness and the lower- property.
Prox-regularization and solution of ill-posed elliptic variational inequalities
In this paper new methods for solving elliptic variational inequalities with weakly coercive operators are considered. The use of the iterative prox-regularization coupled with a successive discretization of the variational inequality by means of a finite element method ensures well-posedness of the auxiliary problems and strong convergence of their approximate solutions to a solution of the original problem. In particular, regularization on the kernel of the differential operator and regularization...
Pursuit-evasion differential game with many inertial players.