Artículo

A New Carleman Inequality for a Linear Schrödinger Equation on Some Unbounded Domains

Sanchez Fernandez de la Vega, Constanza MarielIcon ; de Teresa, Luz; Torres, Pablo AndresIcon
Fecha de publicación: 02/2023
Editorial: Springer
Revista: Applied Mathematics And Optimization
ISSN: 0095-4616
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

This article presents a new Carleman inequality for a linear Schrödinger equation which is suitable for both bounded and unbounded domains. We characterize the conditions on the auxiliary function necessary to obtain the global inequality. The novelty of this result is the construction of the auxiliary function on some unbounded domains and for a corresponding valid control region ω. As a consequence, we prove some results on the controllability of a linear Schrödinger equation on unbounded domains.
Palabras clave: CARLEMAN INEQUALITIES , CONTROLLABILITY , SCHRÖDINGER EQUATION , UNBOUNDED DOMAINS
 
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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/204062
DOI: https://doi.org/10.1007/s00245-022-09922-8
URL: https://link.springer.com/article/10.1007/s00245-022-09922-8
Colecciones
Articulos (IC)
Articulos de INSTITUTO DE CALCULO
Articulos(IMAS)
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Citación
Sanchez Fernandez de la Vega, Constanza Mariel; de Teresa, Luz; Torres, Pablo Andres; A New Carleman Inequality for a Linear Schrödinger Equation on Some Unbounded Domains; Springer; Applied Mathematics And Optimization; 87; 1; 2-2023; 1-18
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