Stability of an inverse problem for the discrete wave equation and convergence results

DOI10.1016/j.matpur.2014.11.006zbMath1342.35446arXiv1310.5092OpenAlexW2963387864MaRDI QIDQ2344558

Lucie Baudouin, Axel Osses, Sylvain Ervedoza

Publication date: 15 May 2015

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.5092

zbMATH Keywords

wave equationinverse problemstability estimatesdiscrete Carleman estimates

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Wave equation (35L05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (11)

Propagation of one- and two-dimensional discrete waves under finite difference approximation ⋮ Convergence analysis of a coefficient inverse problem for the semi-discrete damped wave equation ⋮ An inverse problem for the transmission wave equation with Kelvin–Voigt damping ⋮ Bell-polynomial approach and Wronskian determinant solutions for three sets of differential-difference nonlinear evolution equations with symbolic computation ⋮ On (global) unique continuation properties of the fractional discrete Laplacian ⋮ An application of moment method to uniform boundary controllability property of a semidiscrete 1-d wave equation with a lower rate vanishing viscosity ⋮ Convergent Algorithm Based on Carleman Estimates for the Recovery of a Potential in the Wave Equation ⋮ Approximation of the controls for the wave equation with a potential ⋮ Carleman-Based Reconstruction Algorithm for Waves ⋮ Stability of a coefficient inverse problem for the discrete Schrödinger equation and a convergence result ⋮ Discrete Calderón problem with partial data

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