Four variations in global Carleman weights applied to inverse and controllability problems



Título del documento: Four variations in global Carleman weights applied to inverse and controllability problems
Revista: Computational & applied mathematics
Base de datos: PERIÓDICA
Número de sistema: 000310692
ISSN: 0101-8205
Autores: 1
Instituciones: 1Universidad de Chile, Facultad de Ciencias de Físicas y Matemáticas, Santiago de Chile. Chile
Año:
Volumen: 2006, vol.25, N2-3, p.167-185
País: Brasil
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Experimental, analítico
Resumen en inglés This paper reviews four variants of global Carleman weights that are especially adapted to some singular controllability and inverse problems in partial differential equations. These variants arise when studying: i) one measurement stationary source inverse problems for the heat equation with discontinuous coefficients, ii) one measurement stationary potential inverse problems for the heat equation with discontinuous coefficients, iii) null controllability for fluid-structure problems in mobile domains and iv) recovering coefficients from locally supported boundary observations for the wave equation. In all the case we explain how to explicitly construct the Carleman weight
Disciplinas: Matemáticas
Palabras clave: Matemáticas aplicadas,
Desigualdades de Carleman,
Controlabilidad exacta,
Problemas inversos,
Ecuaciones de Navier-Stokes
Keyword: Mathematics,
Applied mathematics,
Carleman inequalities,
Exact controllability,
Inverse problems,
Navier-Stokes equations
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