On the regularity of edges in image segmentation
On the Regularity of Solutions to Variational Problems in BV (...).
On the relaxation of some classes of pointwise gradient constrained energies
On the representation of effective energy densities
On the Representation of Effective Energy Densities
We consider the question raised in [1] of whether relaxed energy densities involving both bulk and surface energies can be written as a sum of two functions, one depending on the net gradient of admissible functions, and the other on net singular part. We show that, in general, they cannot. In particular, if the bulk density is quasiconvex but not convex, there exists a convex and homogeneous of degree 1 function of the jump such that there is no such representation.
On the Rockafellar theorem for -monotone multifunctions
Let X be an arbitrary set, and γ: X × X → ℝ any function. Let Φ be a family of real-valued functions defined on X. Let be a cyclic -monotone multifunction with non-empty values. It is shown that the following generalization of the Rockafellar theorem holds. There is a function f: X → ℝ such that Γ is contained in the -subdifferential of f, .
On the role of abnormal minimizers in sub-riemannian geometry
On the Sensivity and Relaxability of Optimal Control Problems Governed by Nonlinear Evolution Equations with State Constraints.
On the set-valued calculus in problems of viability and control for dynamic processes : the evolution equation
On the Signorini problem with friction in linear thermoelasticity: The quasi-coupled 2D-case
The Signorini problem with friction in quasi-coupled linear thermo-elasticity (the 2D-case) is discussed. The problem is the model problem in the geodynamics. Using piecewise linear finite elements on the triangulation of the given domain, numerical procedures are proposed. The finite element analysis for the Signorini problem with friction on the contact boundary of a polygonal domain is given. The rate of convergence is proved if the exact solution is sufficiently regular.
On the singularities of convex functions.
On the smoothness of solutions of variational inequalities with obstacles
On the solution of a finite element approximation of a linear obstacle plate problem
In this paper the solution of a finite element approximation of a linear obstacle plate problem is investigated. A simple version of an interior point method and a block pivoting algorithm have been proposed for the solution of this problem. Special purpose implementations of these procedures are included and have been used in the solution of a set of test problems. The results of these experiences indicate that these procedures are quite efficient to deal with these instances and compare favourably...
On the solution of the constrained multiobjective control problem with the receding horizon approach
This paper deals with a multiobjective control problem for nonlinear discrete time systems. The problem consists of finding a control strategy which minimizes a number of performance indexes subject to state and control constraints. A solution to this problem through the Receding Horizon approach is proposed. Under standard assumptions, it is shown that the resulting control law guarantees closed-loop stability. The proposed method is also used to provide a robustly stabilizing solution to the problem...
On the solution of the variational problem of the arc length in 4-dimensinal affine space.
On the solution set of nonconvex subdifferential evolution inclusions
On the solution sets of some nonconvex hyperbolic differential inclusions
On the splitting methods and the proximal point algorithm for maximal monotone operators.
On the stability of the free boundary in the obstacle problem for a minimal surface
On the Stefan problem with energy specification
Vengono trattati due problemi di Stefan con la specificazione dell'energia. Dapprima si fornisce una formulazione debole di un problema unidimensionale ad una fase studiato in [4]: si dimostra un risultato di esistenza. In seguito si considera un problema di Stefan pluridimensionale e multifase in cui viene assegnata l'energia totale del sistema ad ogni istante; si mostra l’esistenza e l’unicità della soluzione per due formulazioni provando inoltre l’equivalenza fra queste.