An inverse source problem for the wave equation.

DOI10.1016/S0362-546X(03)00239-6zbMath1044.35101MaRDI QIDQ1411054

D. Massart

Publication date: 15 October 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

inverse problemsinverse obstacle problemsfeedback lawssource problem

Mathematics Subject Classification ID

Optimal feedback synthesis (49N35) Inverse problems for PDEs (35R30) Wave equation (35L05) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (6)

An inverse problem of reconstructing the time-dependent coefficient in a one-dimensional hyperbolic equation ⋮ A dynamical regularization algorithm for solving inverse source problems of elliptic partial differential equations ⋮ The Inverse Source Problem for the Wave Equation Revisited: A New Approach ⋮ Numerical schemes to reconstruct three-dimensional time-dependent point sources of acoustic waves ⋮ A time domain factorization method for obstacles with impedance boundary conditions ⋮ Reconstruction of sources from time domain scattered waves at sparse sensors

Cites Work

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• Sur un problème inverse de sources acoustiques
• OPEN LOOP FEEDBACK LAWS FOR THE WAVE EQUATION
• Uniqueness and stable determination of forcing terms in linear partial differential equations with overspecified boundary data
• The Relationship Between the Maximum Principle and Dynamic Programming for the Control of Parabolic Variational Inequalities
• Determination of point wave sources by pointwise observations: stability and reconstruction
• Stability, reconstruction formula and regularization for an inverse source hyperbolic problem by a control method
• Feedback Laws for Nonlinear Distributed Control Problems via Trotter-Type Product Formulae

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