The Calderon problem for quasilinear elliptic equations
Author
dc.contributor.author
Muñoz Cerón, Claudio
Author
dc.contributor.author
Uhlmann, Gunther
Admission date
dc.date.accessioned
2020-11-15T16:05:12Z
Available date
dc.date.available
2020-11-15T16:05:12Z
Publication date
dc.date.issued
2020
Cita de ítem
dc.identifier.citation
Ann. I.H.Poincaré – AN37 (2020) 1143–1166
es_ES
Identifier
dc.identifier.other
10.1016/j.anihpc.2020.03.004
Identifier
dc.identifier.uri
https://repositorio.uchile.cl/handle/2250/177721
Abstract
dc.description.abstract
In this paper we show uniqueness of the conductivity for the quasilinear Calderon's inverse problem. The nonlinear conductivity depends, in a nonlinear fashion, of the potential itself and its gradient. Under some structural assumptions on the direct problem, a real-valued conductivity allowing a small analytic continuation to the complex plane induce a unique Dirichlet-to-Neumann (DN) map. The method of proof considers some complex-valued, linear test functions based on a point of the boundary of the domain, and a linearization of the DN map placed at these particular set of solutions.
es_ES
Patrocinador
dc.description.sponsorship
ERC (France)
291214
Comision Nacional de Investigacion Cientifica y Tecnologica (CONICYT)
CONICYT FONDECYT
1150202
Conicyt (U. Chile)
PIA AFB-170001
Millennium Nucleus Center for Analysis of PDE
NC130017
National Science Foundation (NSF)
IAS, HKUST