Analysis of an observer strategy for initial state reconstruction of wave-like systems in unbounded domains

Marcus, Existence theorems for superlinear elliptic Dirichlet problems in exterior domains, in: Nonlinear Functional Analysis and its Applications, Part 1, Berkeley, CA, 1983,

- We prove here the existence of a positive solution, under general conditions, for semilinear elliptic equations in unbounded domains with a variational structure..

In this method the degree for the original operator is defined as the degree for some finite-dimensional operators, and it is possible due to the compactness of the

Firstly, we give a geometric necessary condition (for interior null-controllability in the Euclidean setting) which implies that one can not go infinitely far away from the

In general, if the domain is unbounded, it is known that (3) does not hold, i.e., the positivity of the generalized principal eigenvalue λ 1 is neither a nec- essary nor a

In the area of inverse problems, the classical understanding of finite number of measurements is formulated with respect to the infinite number of measurements involved by the

This section is devoted to the proof of Theorem 1.8 and Corollaries 1.11 and 1.12 on the existence and uniqueness of the global mean speed of any transition front connecting 0 and 1

The plan of our paper is as follows: in Section 2 we detail the coupled problem, corre- sponding artificial boundary conditions and provide a global stability estimate; in Section 3