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Boundary of Maximal Monotone Operators Values
(2018)
We characterize in Hilbert spaces the boundary of the values of maximal monotone operators, by means only of the values at nearby points, which are close enough to the reference point but distinct of it. This allows to ...
Regular Optimal Control Problems with Quadratic Final Penalties
(Unión Matemática Argentina, 2008-12)
Hamilton’s canonical equations (HCEs) have played a central role in Mechanicsafter (i) their equivalence with the principle of least action, and (ii) the variationalcalculus leading to the Euler-Lagrange equation, were ...
Smoothness of the metric projection onto nonconvex bodies in Hilbert spaces
(Academic Press Inc., 2018)
Based on a fundamental work of R. B. Holmes from 1973, we study differentiability properties of the metric projection onto prox-regular sets. We show that if the set is a nonconvex body with a Cp+1-smooth boundary, then ...
The Kriging integration method applied to the boundary element analysis of Poisson problems
(Cartagena de Indias, 2020)
A novel efficient technique is presented for the evaluation of domain integrals that appear in the boundary element method (BEM). Herein, the source term is approximated with the use of radial basis functions, as in the ...
On the identification of a single body immersed in a Navier-Stokes fluid
(2007)
In this work we consider the inverse problem of the identification of a single rigid body immersed in a fluid governed by the stationary Navier-Stokes equations. It is assumed that friction forces are known on a part of ...
The two membranes problem for fully nonlinear operators
(American Institute of Mathematical Sciences, 2018-12)
We study the two membranes problem for two different fully nonlinear operators. We give a viscosity formulation for the problem and prove existence of solutions. Then we prove a general regularity result and the optimal ...
Optimal boundary holes for the Sobolev trace constant
(Elsevier, 2011-07-21)
In this paper we study the problem of minimizing the Sobolev trace Rayleigh quotient ||u||_{1,p} / ||u||_{p} among functions that vanish in a set contained on the boundary of the domain of given boundary measure. We prove ...