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On the controllability and stabilization of the linearized Benjamin-Ono equation

ESAIM: COCV, 11 2 (2005) 204-218
Published online: 2005-03-15

Nonlinear Dispersive Partial Differential Equations and Inverse Scattering

Jean-Claude Saut
Fields Institute Communications, Nonlinear Dispersive Partial Differential Equations and Inverse Scattering 83 95 (2019)
DOI: 10.1007/978-1-4939-9806-7_3

CONTROL AND STABILIZATION OF THE NONLINEAR SCHRÖDINGER EQUATION ON RECTANGLES

LIONEL ROSIER and BING-YU ZHANG
Mathematical Models and Methods in Applied Sciences 20 (12) 2293 (2010)
DOI: 10.1142/S0218202510004933

ON THE CONTROLLABILITY OF A COUPLED SYSTEM OF TWO KORTEWEG–DE VRIES EQUATIONS

SORIN MICU, JAIME H. ORTEGA and ADEMIR F. PAZOTO
Communications in Contemporary Mathematics 11 (05) 799 (2009)
DOI: 10.1142/S0219199709003600

Control and Stabilization of the Benjamin-Ono Equation in $${L^2({\mathbb{T})}}$$ L 2 ( T )

Camille Laurent, Felipe Linares and Lionel Rosier
Archive for Rational Mechanics and Analysis 218 (3) 1531 (2015)
DOI: 10.1007/s00205-015-0887-5

Unique continuation property and control for the Benjamin–Bona–Mahony equation on a periodic domain

Lionel Rosier and Bing-Yu Zhang
Journal of Differential Equations 254 (1) 141 (2013)
DOI: 10.1016/j.jde.2012.08.014

Controllability and asymptotic stabilization of the Camassa–Holm equation

Olivier Glass
Journal of Differential Equations 245 (6) 1584 (2008)
DOI: 10.1016/j.jde.2008.06.016

Global exact controllability and asympotic stabilization of the periodic two-component $\mu\rho$-Hunter-Saxton system

Weiwei Guo, Lixin Tian and Jingqun Wang
Discrete and Continuous Dynamical Systems - Series S 9 (6) 2129 (2016)
DOI: 10.3934/dcdss.2016088

Stabilization of the Kawahara equation with localized damping

Carlos F. Vasconcellos and Patricia N. da Silva
ESAIM: Control, Optimisation and Calculus of Variations 17 (1) 102 (2011)
DOI: 10.1051/cocv/2009041

On the controllability and stabilization of the Benjamin equation on a periodic domain

M. Panthee and F. Vielma Leal
Annales de l'Institut Henri Poincaré C, Analyse non linéaire 38 (5) 1605 (2021)
DOI: 10.1016/j.anihpc.2020.12.004

Control and stability of the linearized dispersion-generalized Benjamin–Ono equation on a periodic domain

C. Flores
Mathematics of Control, Signals, and Systems 30 (3) (2018)
DOI: 10.1007/s00498-018-0219-z

Control and stabilization of the Benjamin-Ono equation on a periodic domain

Felipe Linares and Lionel Rosier
Transactions of the American Mathematical Society 367 (7) 4595 (2015)
DOI: 10.1090/S0002-9947-2015-06086-3

On the Existence of Solitary Waves for an Internal System of the Benjamin–Ono Type

José R. Quintero and Gilberto Arenas-Díaz
Differential Equations and Dynamical Systems (2020)
DOI: 10.1007/s12591-020-00528-6