On spectral approximation. Part 1. The problem of convergence

(Of course the two ‘almost everywheres’ in this statement refer to ( n − 1 ) - and n-dimensional measure respectively.) We give the proof of Theorem 2.1 in the stated case in which

SAFONOV, Uniprovability of estimates of Holder constants for solutions of linear elliptic equations with measurable coefficients, Math. SAFONOV, On a weak uniqueness for

We show that the solution of the two-dimensional Dirichlet problem set in a plane domain is the limit of the solutions of similar problems set on a sequence of one-dimensional

Si nous désignons par A l'opérateur associé au problème couplé ( - Au = ÛJ 2 U) et par A p (x 2 ) l'opérateur associé au problème dans une lamelle de fl p , nous considérons

Modélisation mathématique et Analyse numérique Mathematical Modelling and Numerical Analysis.. APPROXIMATION OF A QUASILINEAR MIXED PROBLEM 213 which is not a priori well defined.

This paper is devoted to the homogenization of a spectral problem for a singularly perturbed elliptic equation in a one-dimensional periodic medium with Neumann boundary

We show that the solution of the two-dimensional Dirichlet problem set in a plane do- main is the limit of the solutions of similar problems set on a sequence of

As an application, we show that the set of points which are displaced at maximal distance by a “locally optimal” transport plan is shared by all the other optimal transport plans,