Results 161 to 170 of about 836 (186)

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
openaire   +4 more sources

Well-posedness of an inverse hyperbolic problem by the Hilbert uniqueness method

Journal of Inverse and Ill-Posed Problems, 1994
Let \(u(f)\) be the solution to the hyperbolic equation in a bounded domain \(\Omega \subset \mathbb{R}^ r\) \[ u'' (x,t)= \Delta u(x,t)+ \sigma (t) f(x), \qquad x\in \Omega, \quad ...
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Boundary Controllability for Inhomogeneous Multidimensional Thermoelastic Diffusion Problem by Hilbert’s Uniqueness Method

Journal of Mathematical Sciences, 2023
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Aouadi, M., Boulehmi, K.
openaire   +1 more source

Using the Hilbert uniqueness method in a reconstruction algorithm for electrical impedance tomography

Physiological Measurement, 1994
This paper presents a new version of the layer stripping algorithm in the sense that it works essentially by repeatedly stripping away the outermost layer of the medium after having determined the conductivity value in this layer. In order to stabilize the ill posed boundary value problem related to each layer, we base our algorithm on the Hilbert ...
W W, Dai, P M, Marsili, E, Martinez, J P, Morucci   +3 more
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The Hilbert Uniqueness Method for a Class of Integral Operators

2016
The Hilbert Uniqueness Method introduced by J.-L. Lions in 1988 has great interest among scientists in the control theory, because it is a basic tool to get controllability results for evolutive systems. Our aim is to outline the Hilbert Uniqueness Method for first order coupled systems in the presence of memory terms in general Hilbert spaces.
LORETI, Paola, SFORZA, Daniela
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A reconstruction algorithm for electrical impedance tomography using the hilbert uniqueness method

Proceedings of the 15th Annual International Conference of the IEEE Engineering in Medicine and Biology Societ, 2005
null Wei-Wen Dai, J.-P. Morucci, P.-M. Marsili   +2 more
openaire   +1 more source

Fuzzy M-fractional integrodifferential models: theoretical existence and uniqueness results, and approximate solutions utilizing the Hilbert reproducing kernel algorithm

Frontiers in Physics, 2023
Omar Abu Arqub
exaly  

The Hilbert Uniqueness Method

2018
openaire   +1 more source

A review on Hilbert‐Huang transform: Method and its applications to geophysical studies

Reviews of Geophysics, 2008
Zhauhua Wu
exaly  

New reproducing kernel Hilbert spaces on semi‐infinite domains with existence and uniqueness results for the nonhomogeneous telegraph equation

Mathematical Methods in the Applied Sciences, 2020
Jabar S Hassan
exaly