Controllability aspects of the Korteweg-de Vries Burgers equation on unbounded domains

被引：5

作者：

Gallego, F. A. ^{[1
]}

机构：

[1] Univ Nacl Colombia, Dept Matemat, UNAL, Cra 27 64-60, Manizales 170003, Colombia

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 461卷 / 01期

关键词：

KdV-B equation; Controllability; Carleman estimate; Unbounded domain; NULL-CONTROLLABILITY; HEAT-EQUATION; BOUNDARY CONTROL; KDV EQUATION; STABILIZATION;

D O I：

10.1016/j.jmaa.2017.12.031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this work is to consider the controllability problem of the linear system associated to Korteweg-de Vries Burgers equation posed in the whole real line. We obtain a sort of exact controllability for solutions in L-loc(2)(R-2) by deriving an internal observability inequality and a Global Carleman estimate. Following the ideas contained in [25], the problem is reduced to prove an approximate theorem. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：947 / 970

页数：24

共 50 条

[41] NEUMANN BOUNDARY CONTROLLABILITY OF THE KORTEWEG-DE VRIES EQUATION ON A BOUNDED DOMAIN
Caicedo, Miguel Andres
Capistrano Filho, Roberto De A.
Zhang, Bing-Yu
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2017, 55 (06) : 3503 - 3532
[42] EXACT CONTROLLABILITY OF A LINEAR KORTEWEG-DE VRIES EQUATION BY THE FLATNESS APPROACH
Martin, Philippe
Rivas, Ivonne
Rosier, Lionel
Rouchon, Pierre
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2019, 57 (04) : 2467 - 2486
[43] NULL CONTROLLABILITY OF A LINEARIZED KORTEWEG-DE VRIES EQUATION BY BACKSTEPPING APPROACH
Xiang, S.
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2019, 57 (02) : 1493 - 1515
[44] LAGRANGIAN CONTROLLABILITY OF THE 1-DIMENSIONAL KORTEWEG-DE VRIES EQUATION
Gagnon, Ludovick
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2016, 54 (06) : 3152 - 3173
[45] Null controllability with constraints on the state for the linear Korteweg-de Vries equation
Chen, Mo
ARCHIV DER MATHEMATIK, 2015, 104 (02) : 189 - 199
[46] KORTEWEG-DE VRIES EQUATION AND GENERALIZATIONS .4. KORTEWEG-DE VRIES EQUATION AS A HAMILTONIAN SYSTEM
GARDNER, CS
JOURNAL OF MATHEMATICAL PHYSICS, 1971, 12 (08) : 1548 - &
[47] STABILITY FOR KORTEWEG-DE VRIES EQUATION
MCKEAN, HP
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1977, 30 (03) : 347 - 353
[48] Recurrence in the Korteweg-de Vries equation?
Herbst, Ben
Nieddu, Garrett
Trubatch, A. David
NONLINEAR WAVE EQUATIONS: ANALYTIC AND COMPUTATIONAL TECHNIQUES, 2015, 635 : 1 - 12
[49] The Korteweg-de Vries equation on the interval
Hitzazis, Iasonas
Tsoubelis, Dimitri
JOURNAL OF MATHEMATICAL PHYSICS, 2010, 51 (08)
[50] On the stabilization of the Korteweg-de Vries equation
Komornik, Vilmos
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2010, 28 (02): : 33 - 48

← 1 2 3 4 5 →