Local rapid stabilization for a Korteweg-de Vries equation with a Neumann boundary control on the right

This paper is devoted to the study of the rapid exponential stabilization problem for a controlled Korteweg-de Vries equation on a bounded interval with homogeneous Dirichlet boundary conditions and Neumann boundary control at the right endpoint of the interval. For every noncritical length, we build a feedback control law to force the solution of the closed-loop system to decay exponentially to zero with arbitrarily prescribed decay rates, provided that the initial datum is small enough. Our approach relies on the construction of a suitable integral transform.

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Field Value
Source ISSN: 0021-7824
Author Coron, Jean-Michel, Lü, Qi
Maintainer CCSD
Last Updated May 6, 2026, 00:05 (UTC)
Created May 6, 2026, 00:05 (UTC)
Identifier hal-00905091
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Laboratoire Jacques-Louis Lions (LJLL) ; Université Pierre et Marie Curie - Paris 6 (UPMC)-Université Paris Diderot - Paris 7 (UPD7)-Centre National de la Recherche Scientifique (CNRS)
creator Coron, Jean-Michel
date 2014-12-01T00:00:00
harvest_object_id b111a3a9-62ef-48a2-a3c5-c09ebc141fab
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2025-10-11T00:00:00
relation info:eu-repo/semantics/altIdentifier/arxiv/1311.4031
set_spec type:ART