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Artículo
Continuous division of differential operators
(Association des Annales de l'Institut Fourier, 2001)
In this paper, we give a new proof of the continuity of division by differential operators with analytic coefficients, originally proved by Mebkhout and the second author. Our methods come from the proof of the Constant ...
Artículo
Homotopy in digital spaces
(Elsevier, 2003-01-15)
The main contribution of this paper is a new “extrinsic” digital fundamental group that can be readily generalized to define higher homotopy groups for arbitrary digital spaces. We show that the digital fundamental group ...
Artículo
Null and approximate controllability for weakly blowing up semilinear heat equations
(Elsevier, 2000-09)
We consider the semilinear heat equation in a bounded domain of Rd , with control on a subdomain and homogeneous Dirichlet boundary conditions. We prove that the system is null-controllable at any time provided a globally ...
Artículo
A digital index theorem
(World Scientific Publishing, 2001-11)
This paper is devoted to prove a Digital Index Theorem for digital (n − 1)-manifolds in a digital space (Rn, f), where f belongs to a large family of lighting functions on the standard cubical decomposition Rn of the ...