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Exact controllability for the fourth order Schr鰀inger equation
Fourth order Schr鰀inger equation HUM method Controllability Multiplier
2011/10/15
In this paper the boundary controllability of the fourth order Schr"odinger equation in bounded domains is studied. By means of a L2-Neumann boundary control, it is proven that the solution is exactly...
Two-point boundary value problems and exact controllability for several kinds of linear and nonlinear wave equations
wave equation two-point boundary value problem global exact controllability exact controllability Dirichlet boundary condition Neumann boundary condition hyperbolic curvature flow Gage-Hamilton’s theorem
2018/4/19
In this paper we introduce some new concepts for second-order hyperbolic equations: two-point boundary value problem, global exact controllability and exact controllability. For several kinds of impor...
The exact controllability of the movement of homogeneous incompressible viscous fluid in an infinite cylinder
Exact controllability Hilbert space
2010/9/13
In the present work we propose to study the movement of a steady density of an incompressible viscous fluid in a cylindrical domain to control the external boundary. This movement with axial symmetry,...
Global Approximately Controllability and Finite Dimensional Exact Controllability of Semilinear Heat Equation in R~N
semilinear heat equation controllability
2007/12/10
We prove the approxomate controllability and finite dimensional exact controllability of semilinear heat equation in R~N with the same control by introducing the weighted Soblev spaces.