Work

On the critical lengths and controllability of the Kawahara equation

Year: 2025

Type: article

Abstract: This paper deals with the exact controllability of the Kawahara equation posed on a finite interval with one boundary control. We prove that the local exact controllability of Kawahara equation holds provided that the length of the interval does not belong to a countable set of critical lengths.

Source: Communications in Contemporary Mathematics

DOI: 10.1142/s0219199726500057

Authors: Fágner D. Araruna, Gleb G. Doronin, Lionel Rosier

Institutions: Universidade Federal da Paraíba, Universidade Estadual de Maringá, Université du littoral côte d'opale

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funder: Agence Nationale de la Recherche

Award: Complex and Harmonic Analysis for control Theory