The inverse problem of heat conduction in the case of non-uniqueness: a functional identification approach
DOI10.1515/jiip-2022-0056MaRDI QIDQ6626980
Galina M. Zayats, V. T. Borukhov
Publication date: 29 October 2024
inverse problemnonlinear heat equationnon-uniquenessnumerical simulationfunctional identificationthermal-conductivity coefficient
Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30) Inverse problems in thermodynamics and heat transfer (80A23) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Quasilinear parabolic equations (35K59)
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