{ "id": "1704.00936", "version": "v1", "published": "2017-04-04T09:52:28.000Z", "updated": "2017-04-04T09:52:28.000Z", "title": "Null controllability of a population dynamics with interior degeneracy", "authors": [ "Idriss Boutaayamou", "Younes Echarroudi" ], "categories": [ "math.AP" ], "abstract": "In this paper, we deal with the null controllability of a population dynamics model with an interior degenerate diffusion. To this end, we proved first a new Carleman estimate for the full adjoint system and afterwards we deduce a suitable observability inequality which will be needed to establish the existence of a control acting on a subset of the space which lead the population to extinction in a finite time.", "revisions": [ { "version": "v1", "updated": "2017-04-04T09:52:28.000Z" } ], "analyses": { "keywords": [ "null controllability", "interior degeneracy", "population dynamics model", "interior degenerate diffusion", "full adjoint system" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }