Global Null Controllability of the 1-Dimensional Nonlinear Slow Diffusion Equation

Jean-Michel Coron (), Jesús Ildefonso Díaz (), Abdelmalek Drici () and Tommaso Mingazzini ()
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Jean-Michel Coron: Institut Universitaire de France and Université Pierre et Marie Curie (Paris 6), UMR 7598 Laboratoire Jacques-Louis Lions
Jesús Ildefonso Díaz: Universidad Complutense de Madrid, Instituto de Matemática Interdisiplinar and Dpto. de Matemática Aplicada
Abdelmalek Drici: Université Pierre et Marie Curie (Paris 6), UMR 7598 Laboratoire Jacques-Louis Lions
Tommaso Mingazzini: Universidad Complutense de Madrid, Dpto. de Matemática Aplicada

A chapter in Partial Differential Equations: Theory, Control and Approximation, 2014, pp 211-224 from Springer

Abstract: Abstract The authors prove the global null controllability for the 1-dimensional nonlinear slow diffusion equation by using both a boundary and an internal control. They assume that the internal control is only time dependent. The proof relies on the return method in combination with some local controllability results for nondegenerate equations and rescaling techniques.

Keywords: Nonlinear control; Nonlinear slow diffusion equation; Porous medium equation; 35L65; 35L567 (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-41401-5_8

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DOI: 10.1007/978-3-642-41401-5_8

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