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This dissertation studies the detection and reconstruction of the space term for a variable separable source in acoustic and elastic wave problems. To do this, we study the time-reversal mirror method, which exploits an intrinsic invariance of physics at microscopic level that is also observed at...

This thesis presents theoretical results for stability and string stability of formation control architectures for platooning. We consider three important interconnection topologies for vehicles travelling in a straight line as a string: leader following, cyclic and bidirectional. For the leade...

In this thesis we study the rational Cherednik algebra attached to the complex reflection group G(r,1,2). Each irreducible representation of G(r; 1; 2) corresponds to a standard module for the rational Cherednik algebra. We give necessary and sufficient conditions for the existence of morphisms ...

This thesis is dedicated to the study of differential inclusions involving normal cones of nonregular sets in Hilbert spaces. In particular, we are interested in the sweeping process and its variants. The sweeping process is a constrained differential inclusion involving normal cones which appear...

El presente trabajo de tesis tiene por objetivo presentar las propiedades cualitativas de una clase de ecuaciones parabólicas sobre un espacio métrico con una medida borel asociada. Primero se examina la ecuación de difusión sobre el espacio euclidiano Rn n ≥ 1, examinando las propiedades del núc...

This thesis work aims to present the qualitative properties of a class of parabolic equations on a metric space with an associated boreal measure. First, the diffusion equation on the Euclidean space Rn n ≥ 1 is examined, examining the properties of the heat kernel and the associated semigroup, a...