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Global Null Controllability of the 1-Dimensional Nonlinear Slow Diffusion Equation |
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| Authors: | Jean-Michel CORON Jesús Ildefonso DAZ Abdelmalek DRICI Tommaso MINGAZZINI |
| Affiliation: | 1774. Institut Universitaire de France and Université Pierre et Marie Curie (Paris 6), UMR 7598 Laboratoire Jacques-Louis Lions, 4, place Jussieu, F-75252, Paris cedex 5, France 2774. Instituto de Matemática Interdisiplinar and Dpto. de Matemática Aplicada, Universidad Complutense de Madrid, Plaza de las Ciencias 3, 28040, Madrid, Espa?a 3774. UMR 7598 Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie (Paris 6), 4, place Jussieu, F-75252, Paris cedex 5, France 4774. Dpto. de Matemática Aplicada, Universidad Complutense de Madrid, Plaza de las Ciencias 3, 28040, Madrid, Espa?a |
| 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 |
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