Uniqueness properties for Discrete equations and Carleman estimates

Using Carleman estimates, we give a lower bound for solutions to the discrete Schrödinger equation in both dynamic and stationary settings that allows us to prove uniqueness results, under some assumptions on the decay of the solutions.

Detalhes bibliográficos
Autores: Fernández Bertolin, Aingeru, Vega González, Luis
Formato: artículo
Fecha de publicación:2017
País:España
Recursos:Universidad del País Vasco
Repositorio:Addi. Archivo Digital para la Docencia y la Investigación
OAI Identifier:oai:addi.ehu.eus:10810/74879
Acesso em linha:http://hdl.handle.net/10810/74879
Access Level:acceso abierto
Descrição
Resumo:Using Carleman estimates, we give a lower bound for solutions to the discrete Schrödinger equation in both dynamic and stationary settings that allows us to prove uniqueness results, under some assumptions on the decay of the solutions.