Data Recovery from Cauchy Measurements in Transient Heat Transfer

DOI10.4208/jms.v55n1.22.03OpenAlexW4206957051MaRDI QIDQ5864223

Faker Ben Belgacem, Thouraya Baranger Nouri

Publication date: 3 June 2022

Published in: Journal of Mathematical Study (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/jms.v55n1.22.03

zbMATH Keywords

convolution equationsCauchy matrixparabolic regularityill-posedness degreedata completion process

Mathematics Subject Classification ID

Computer science aspects of computer-aided design (68U07) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18)

Cites Work

• Estimations of solutions of the Sturm-Liouville equation with respect to a spectral parameter
• A method of fundamental solutions for transient heat conduction
• Boundary inequalities for eigenfunctions and boundary control theory
• Approximation by polynomials
• On the Dirichlet boundary controllability of the one-dimensional heat equation: semi-analytical calculations and ill-posedness degree
• Generalizations of Müntz’s Theorem via a Remez-type inequality for Müntz spaces
• On a sideways parabolic equation
• On the Singular Values of Matrices with Displacement Structure
• asymptottcs of singular values of volterra integral operators
• Singular value decomposition of fractional integration operators in L2-spaces with weights
• Numerical solution of the sideways heat equation by difference approximation in time
• Displacement Structure: Theory and Applications
• Estimates of initial conditions of parabolic equations and inequalities via lateral Cauchy data
• Ill-posedness of Inverse Diffusion Problems by Jacobi's Theta Transform
• Combined energy method and regularization to solve the Cauchy problem for the heat equation
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