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



Document title: Four variations in global Carleman weights applied to inverse and controllability problems
Journal: Computational & applied mathematics
Database: PERIÓDICA
System number: 000310692
ISSN: 0101-8205
Authors: 1
Institutions: 1Universidad de Chile, Facultad de Ciencias de Físicas y Matemáticas, Santiago de Chile. Chile
Year:
Volumen: 2006, vol.25, N2-3, p.167-185
Country: Brasil
Language: Inglés
Document type: Artículo
Approach: Experimental, analítico
English abstract 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
Disciplines: Matemáticas
Keyword: 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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