3 Multiscale Representation for the Singular Part

Proof of Theorem 1.3.. L., An Ll-theory of existence and uniqueness of solutions of nonlinear elliptic equations, Ann. and MULLER, S., Uniqueness and maxi- mal

It has been suggested in many recent works that the type of decay of the Quan- tum Fidelity may help to discriminate between chaotic or regular underlying clas- sical motion ; in

On ε∂ω, r d ε is by construction the remainder of order two in the Taylor expansion of u Ω 0.. Let us turn ourselves to the derivative.. We consider the same class of

In this paper we prove the existence of a generalized eigenvalue and a cor- responding eigenfunction for fully nonlinear operators singular or degenerate, homogeneous of degree 1 + α,

In this section we recall the “Dirichlet duality” theory by Harvey and Lawson [11], which establishes (under an appropriate explicit geometric assumption on the domain Ω ) the

tions).. We consider the time dependent potential without the bounded part v2, which is a multiplication operator with the function. where denotes a permitted family of

This paper studies the exact controllability of the Maxwell system in a bounded domain, controlled by a current flowing tangentially in the boundary of the region, as well as the

In a first section, we give the full asymptotic expansion of the state function in the case of a straight boundary near the origin, this is based on a multiscale asymptotic method..