Repositorio de producción científica de la Universidad de Sevilla

Controlabilidad de ecuaciones escalares parabólicas: análisis de diferentes técnicas

Opened Access Controlabilidad de ecuaciones escalares parabólicas: análisis de diferentes técnicas
Estadísticas
Icon
Exportar a
Autor: Sánchez Florido, Aitor
Director: González Burgos, Manuel
Departamento: Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico
Fecha: 2017
Tipo de documento: Trabajo Fin de Master
Titulación: Universidad de Sevilla. Máster Universitario en Matemáticas
Resumen: The controllability of parabolic partial differential equations has been a topic of increasing interest in the last decades that it has attracted to good part of the mathematical community dedicated to the control. This type of equations and systems arise, for example, in the study of diverse phenomena related to the Physics, the Biology or the Chemistry. In this work we try to analyze different technologies that have allowed to give positive results of controllability of parabolic equations. The first positive results of controllability of parabolic equations were obtained in 1971 (Arch. Rational Mech. Anal. 43, 1971) y 1974 (Quart. Appl. Math. 32, 1974/75) por H.O. Fattorini y D.L. Russe. These proved the boundary controllability of the unidimensional heat equation by means of the method of the moments. The general results of controllability to zero of N-dimensional parabolic equations were obtained independently for G. Lebeau and L. Robbiano and for A. Fursikov in O. Imanuvilov in...
[Ver más]
Tamaño: 750.8Kb
Formato: PDF

URI: https://hdl.handle.net/11441/71080

Mostrar el registro completo del ítem


Esta obra está bajo una Licencia Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 Internacional

Este registro aparece en las siguientes colecciones