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On Hilbert Uniqueness Method: A Semigroup Approach

open access: yesIFAC Postprint Volumes IPPV / International Federation of Automatic Control, 1989
A generalized version of Hilbert uniqueness method (HUM] developed by Lions for hyperbolic systems and Belfekih − El Jai for parabolic systems is proposed. The approach is based on semigroup theory and applies for both parabolic and hyperbolic systems.
A El Jai
exaly   +2 more sources

Convergence Rates of the Hilbert Uniqueness Method via Tikhonov Regularization

Journal of Optimization Theory and Applications, 1999
A parabolic differential equation on \([0,1]\times [0,T]\) with Dirichlet data and homogeneous initial data of the following form is considered \[ {\partial y\over\partial t}-{\partial\over\partial x} \Biggl(a(x){\partial y\over\partial x}\Biggr)= 0, \] \[ y(0,x)= 0,\quad y(t,0)= \nu_0(t),\quad y(t,1)= \nu_1(t), \] with diffusion coefficient \(a(x)\in ...
Stefan Kindermann
exaly   +3 more sources

Boundary Controllability for Inhomogeneous Multidimensional Thermoelastic Diffusion Problem by Hilbert’s Uniqueness Method

Journal of Mathematical Sciences, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aouadi, M., Boulehmi, K.
openaire   +1 more source

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