Determination of the initial condition in parabolic equations from boundary observations

DOI10.1515/JIIP-2015-0055zbMath1354.65183OpenAlexW2316610033MaRDI QIDQ278035

Nguyen Thi Ngoc Oanh, Dinh Nho Hào

Publication date: 2 May 2016

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip-2015-0055

zbMATH Keywords

inverse problemsvariational methodsingular valuesill-posed problemsinitial conditionboundary observationsfinite difference splitting method

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)

Related Items (5)

Determination of the initial density in nonlocal diffusion from final time measurements ⋮ Stable reconstruction of the initial condition in parabolic equations from boundary observations ⋮ Solving the backward heat conduction problem by homotopy analysis method ⋮ Simultaneous reconstruction of space-dependent heat transfer coefficients and initial temperature ⋮ Simultaneous identification of initial value and source strength in a transmission problem for a parabolic equation

Cites Work

• A noncharacteristic cauchy problem for linear parabolic equations III: a variational method and its approximation schemes
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