Local controllability of a nonlinear wave equation

We obtain results on local controllability (near an equilibrium point) for a nonlinear wave equation, by application of an infinite-dimensional analogue of the Lee-Markus method of linearization. Controllability of the linearized equation is studied by application of results of Russell, and local co...

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Autor principal: Fattorini, H.O.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00255661_v9_n1_p30_Fattorini
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_00255661_v9_n1_p30_Fattorini
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spelling todo:paper_00255661_v9_n1_p30_Fattorini2023-10-03T14:36:09Z Local controllability of a nonlinear wave equation Fattorini, H.O. We obtain results on local controllability (near an equilibrium point) for a nonlinear wave equation, by application of an infinite-dimensional analogue of the Lee-Markus method of linearization. Controllability of the linearized equation is studied by application of results of Russell, and local controllability of the nonlinear equation follows from the inverse function theorem. We prove that every state that is sufficiently small in a sense made precise in the paper can be reached from the origin in a time T depending on the coefficients of the equation. © 1975 Springer-Verlag New York Inc. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00255661_v9_n1_p30_Fattorini
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description We obtain results on local controllability (near an equilibrium point) for a nonlinear wave equation, by application of an infinite-dimensional analogue of the Lee-Markus method of linearization. Controllability of the linearized equation is studied by application of results of Russell, and local controllability of the nonlinear equation follows from the inverse function theorem. We prove that every state that is sufficiently small in a sense made precise in the paper can be reached from the origin in a time T depending on the coefficients of the equation. © 1975 Springer-Verlag New York Inc.
format JOUR
author Fattorini, H.O.
spellingShingle Fattorini, H.O.
Local controllability of a nonlinear wave equation
author_facet Fattorini, H.O.
author_sort Fattorini, H.O.
title Local controllability of a nonlinear wave equation
title_short Local controllability of a nonlinear wave equation
title_full Local controllability of a nonlinear wave equation
title_fullStr Local controllability of a nonlinear wave equation
title_full_unstemmed Local controllability of a nonlinear wave equation
title_sort local controllability of a nonlinear wave equation
url http://hdl.handle.net/20.500.12110/paper_00255661_v9_n1_p30_Fattorini
work_keys_str_mv AT fattoriniho localcontrollabilityofanonlinearwaveequation
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