Inverse Problems for Multidimensional Heat Equations by Measurements at a Single Point on the Boundary

DOI10.1080/01630560903498979zbMath1185.35320OpenAlexW2040943477MaRDI QIDQ3402145

Tuan, V. K., Amin Boumenir

Publication date: 2 February 2010

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560903498979

zbMATH Keywords

inverse problemmultidimensional heat equationsingle point measurement

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Heat equation (35K05) Inverse problems for PDEs (35R30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (13)

An inverse problem for the wave equation ⋮ Inverse source problem for the 1D Schrödinger equation ⋮ The reconstruction of a source and a potential from boundary measurements ⋮ Reconstructing the shape of a domain from one point measurements ⋮ An inverse problem for a fractional diffusion equation ⋮ The recovery of a parabolic equation from measurements at a single point ⋮ One point recovery of a parabolic equation ⋮ Recovery of the heat equation on a star graph ⋮ Unnamed Item ⋮ Reconstruction of a heat equation from one point observations ⋮ Inverse problem for fractional diffusion equation ⋮ Recovery of a degenerate space-dependent heat capacity ⋮ The recovery of the acoustic stiffness coefficient

Cites Work

• Unique continuation and absence of positive eigenvalues for Schrödinger operators. (With an appendix by E. M. Stein)
• An \(n\)-dimensional Borg-Levinson theorem
• Elliptic partial differential equations of second order
• Boundary control in reconstruction of manifolds and metrics (the BC method)
• Inverse problems for partial differential equations

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