Recovery of an initial temperature from discrete sampling
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Publication:3191257
DOI10.1142/S0218202514500262zbMath1298.35250OpenAlexW2055429061MaRDI QIDQ3191257
Ronald A. DeVore, Enrique Zuazua
Publication date: 1 October 2014
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218202514500262
Heat equation (35K05) Inverse problems for PDEs (35R30) Series solutions to PDEs (35C10) Inverse problems in thermodynamics and heat transfer (80A23) Harmonic analysis and PDEs (42B37)
Related Items (5)
An approach for recovering initial temperature via a bounded linear time sampling ⋮ On approximating initial data in some linear evolutionary equations involving fraction Laplacian ⋮ Boundary value problems initial condition identification by a wavelet-based Galerkin method ⋮ Time-variant system approximation via later-time samples ⋮ On near-optimal time samplings for initial data best approximation
Cites Work
- An introduction to inverse elliptic and parabolic problems
- Numerical solution of the equation of heat conduction for preceding times
- Discrete observability and Dirichlet series
- A discrete sampling inversion scheme for the heat equation
- Inverse parabolic problems and discrete orthogonality
- Mathematical biology. Vol. 1: An introduction.
- Optimal nonlinear approximation
- Wavelet compression and nonlinear \(n\)-widths
- On the lack of null-controllability of the heat equation on the half-line
- Determination of initial states of parabolic systems from discrete data
- A New Numerical Method for Backward Parabolic Problems in the Maximum-Norm Setting
- On heat conduction in materials with memory
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