Extracting discontinuity in a heat conductive body. One-space dimensional case

DOI10.1080/00036810701460834zbMath1132.35498arXivmath/0611449OpenAlexW2033330639WikidataQ58243025 ScholiaQ58243025MaRDI QIDQ5442938

Masaru Ikehata

Publication date: 18 February 2008

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0611449

zbMATH Keywords

heat equationinterfacecavityinverse boundary value problemcorrosionthermal imaging

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Inverse problems in thermodynamics and heat transfer (80A23)

Related Items (14)

On finding a cavity in a thermoelastic body using a single displacement measurement over a finite time interval on the surface of the body ⋮ The enclosure method for inverse obstacle scattering over a finite time interval: IV. extraction from a single point on the graph of the response operator ⋮ The enclosure method for inverse obstacle scattering over a finite time interval. VI: Using shell-type initial data ⋮ On an inverse boundary problem for the heat equation when small heat conductivity defects are present in a material ⋮ On finding a penetrable obstacle using a single electromagnetic wave in the time domain ⋮ Extracting discontinuity using the probe and enclosure methods ⋮ Trusted frequency region of convergence for the enclosure method in thermal imaging ⋮ On the identification of the heat conductivity distribution from partial dynamic boundary measurements ⋮ Prescribing a heat flux coming from a wave equation ⋮ On finding a buried obstacle in a layered medium via the time domain enclosure method ⋮ The enclosure method for the heat equation using time-reversal invariance for a wave equation ⋮ Numerical implementations of dynamical probe method for non-stationary heat equation ⋮ Inverse Problems for Time-Dependent Singular Heat Conductivities: Multi-Dimensional Case ⋮ An inverse problem for a three-dimensional heat equation in thermal imaging and the enclosure method

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• A regularized extraction formula in the enclosure method
• A new formulation of the probe method and related problems
• Enclosing a polygonal cavity in a two-dimensional bounded domain from Cauchy data
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