Stability estimates for the identification of nonlinear heat transfer laws

DOI10.1088/0266-5611/12/5/015zbMath0857.35136OpenAlexW2030918112MaRDI QIDQ4714786

Arnd Rösch

Publication date: 7 November 1996

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

Full work available at URL: https://doi.org/10.1088/0266-5611/12/5/015

zbMATH Keywords

heat equationuniformly Lipschitz continuousidentification of a nonlinear boundary condition

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Inverse problems for PDEs (35R30)

Related Items (10)

Dynamics identification in evolution models using radial basis functions ⋮ Natural linearization for the identification of nonlinear heat transfer laws ⋮ Reconstruction of boundary condition laws in heat conduction using the boundary element method ⋮ Identification of nonlinear heat transfer laws from boundary observations ⋮ On the identification and optimization of nonsmooth superposition operators in semilinear elliptic PDEs ⋮ Recovering of the Heat Transfer Coefficient from the Temperature Measurements ⋮ Determination of the heat transfer coefficient in mathematical models of heat and mass transfer ⋮ Recovering temperature dependence of heat transfer coefficient in electronic circuits ⋮ Lipschitz stability of solutions to parametric optimal control problems for parabolic equations ⋮ Estimation of unknown boundary functions in an inverse heat conduction problem using a mollified marching scheme

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