Uniqueness in shape identification of a time-varying domain and related parabolic equations on non-cylindrical domains

DOI10.1088/0266-5611/26/12/125007zbMath1206.35257OpenAlexW2042204661MaRDI QIDQ3069790

Hajime Kawakami, Masaaki Tsuchiya

Publication date: 20 January 2011

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/26/12/125007

zbMATH Keywords

inverse problemparabolic equationmixed boundary conditiondetermining the shape

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Weak solutions to PDEs (35D30) Continuation and prolongation of solutions to PDEs (35B60) Second-order parabolic equations (35K10)

Related Items (6)

Recovering time-dependent inclusion in heat-conductive bodies using a dynamical probe method ⋮ A meshless method for solving a two‐dimensional transient inverse geometric problem ⋮ Stabilities of shape identification inverse problems in a Bayesian framework ⋮ On the Numerical Solution of a Time-Dependent Shape Optimization Problem for the Heat Equation ⋮ Inverse Problems for Time-Dependent Singular Heat Conductivities: Multi-Dimensional Case ⋮ Reconstruction algorithm for unknown cavities via Feynman-Kac type formula

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