Robin Coefficient Inversion Problem of Variable Coefficient Heat Conduction Equation

LIU Fanli, Xie Jinxin, Yang Tao

Acta Mathematicae Applicatae Sinica ›› 2021, Vol. 44 ›› Issue (4) : 574-588.

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Acta Mathematicae Applicatae Sinica ›› 2021, Vol. 44 ›› Issue (4) : 574-588. DOI: 10.12387/C2021041

Robin Coefficient Inversion Problem of Variable Coefficient Heat Conduction Equation

  • LIU Fanli1, Xie Jinxin2, Yang Tao2
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Abstract

In this paper, based on the nonlocal boundary conditions, the Robin coefficient of one kind of parabolic equation with variable coefficients is determined, the Robin coefficient is only related to time.Here the first variational formula is given, the uniqueness is proved by using the variational formula, second time discrete model is given, based on linear variational form of discretization, a series of a prior estimate are derived, the existence of weak solutions is proved, and it’s error is analyzed.

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uniqueness / existence of weak / error analysis / Robin coefficients

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LIU Fanli, Xie Jinxin, Yang Tao. Robin Coefficient Inversion Problem of Variable Coefficient Heat Conduction Equation. Acta Mathematicae Applicatae Sinica, 2021, 44(4): 574-588 https://doi.org/10.12387/C2021041

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