Using sparse control methods to identify sources in linear diffusion-convection equations

Abstract: Techniques from sparse control theory are proposed to approximate initial conditions for diffusion-convection equations. Existence and uniqueness of optimal controls are proven, and necessary and sufficient optimality conditions are derived. From these conditions the sparsity structure of the solutions is derived, which relates to identification of the sources to be reconstructed.

 Fuente: Inverse Problems, 2019, 35(11), 114002

Editorial: Institute of Physics Publishing

 Fecha de publicación: 03/10/2019

Nº de páginas: 17

Tipo de publicación: Artículo de Revista

DOI: 10.1088/1361-6420/ab331c

ISSN: 1361-6420,0266-5611

Proyecto español: MTM2017-83185-P

Url de la publicación: https://doi.org/10.1088/1361-6420/ab331c