A rigorous approach to relativistic corrections of bound state energies for spin-1/2 particles
A saddle-point approach to the Monge-Kantorovich optimal transport problem
The Monge-Kantorovich problem is revisited by means of a variant of the saddle-point method without appealing to c-conjugates. A new abstract characterization of the optimal plans is obtained in the case where the cost function takes infinite values. It leads us to new explicit sufficient and necessary optimality conditions. As by-products, we obtain a new proof of the well-known Kantorovich dual equality and an improvement of the convergence of the minimizing sequences.
A saddle-point approach to the Monge-Kantorovich optimal transport problem
The Monge-Kantorovich problem is revisited by means of a variant of the saddle-point method without appealing to c-conjugates. A new abstract characterization of the optimal plans is obtained in the case where the cost function takes infinite values. It leads us to new explicit sufficient and necessary optimality conditions. As by-products, we obtain a new proof of the well-known Kantorovich dual equality and an improvement of the convergence of the minimizing sequences.
A systematization of convexity concepts for sets and functions.
A two-stage stochastic optimization model for a gas sale retailer
The paper deals with a new stochastic optimization model, named OMoGaS–SV (Optimization Modelling for Gas Seller–Stochastic Version), to assist companies dealing with gas retail commercialization. Stochasticity is due to the dependence of consumptions on temperature uncertainty. Due to nonlinearities present in the objective function, the model can be classified as an NLP mixed integer model, with the profit function depending on the number of contracts with the final consumers, the typology of...
A variational principle for the nonstationary linear Navier-Stokes equations.
A viscosity-proximal gradient method with inertial extrapolation for solving certain minimization problems in Hilbert space
In this paper, we study the strong convergence of the proximal gradient algorithm with inertial extrapolation term for solving classical minimization problem and finding the fixed points of -demimetric mapping in a real Hilbert space. Our algorithm is inspired by the inertial proximal point algorithm and the viscosity approximation method of Moudafi. A strong convergence result is achieved in our result without necessarily imposing the summation condition on the inertial term. Finally, we provide...
About some types of boundary value problems with interfaces
About steady transport equation I – -approach in domains with smooth boundaries
We investigate the steady transport equation in various domains (bounded or unbounded) with smooth noncompact boundaries. The functions are supposed to be small in appropriate norms. The solution is studied in spaces of Sobolev type (classical Sobolev spaces, Sobolev spaces with weights, homogeneous Sobolev spaces, dual spaces to Sobolev spaces). The particular stress is put onto the problem to extend the results to as less regular vector fields , as possible (conserving the requirement of...
Addendum to “Curves of maximum modulus in coherent state representations”
Algebraic quantum field theory and noncommutative moment problems. I
Algebraic quantum field theory and noncommutative moment problems. II
Algebras of approximation sequences: Fredholm theory in fractal algebras
The present paper is a continuation of [5, 7] where a Fredholm theory for approximation sequences is proposed and some of its properties and consequences are studied. Here this theory is specified to the class of fractal approximation methods. The main result is a formula for the so-called α-number of an approximation sequence (Aₙ) which is the analogue of the kernel dimension of a Fredholm operator.
Alternative models in precipitation analysis.
An algebraic formulation of ergodic problems
An algevraic study of the Kolmogorov entropy
An attempt of characterization of functions with sharp weakly complete epigraphs.
An extension theorem to rough paths
An initial boundary value problem for Maxwell's equations in a parabolic limit case.
Analytical and numerical study of Kramers' exit problem. I.