Determination of the time-dependent perfusion coefficient in the bio-heat equation

Lesnic D.; Ivanchov M.

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Determination of the time-dependent perfusion coefficient in the bio-heat equation

机译：确定生物热方程中随时间变化的灌注系数

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摘要

Identification of the time-dependent perfusion coefficient in the one-dimensional transient bio-heat conduction equation from Cauchy data is investigated. Necessary and sufficient conditions for the unique solvability of this inverse problem are provided. (C) 2014 Elsevier Ltd. All rights reserved.

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《Applied mathematics letters》 |2015年第null期|共5页
作者
Lesnic D.; Ivanchov M.;
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原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
Bio-heat equation; Inverse problem; Perfusion coefficient;

机译：生物热方程反问题灌注系数;

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专利

1. Determination of the time-dependent perfusion coefficient in the bio-heat equation [J] . Lesnic D., Ivanchov M. Applied mathematics letters . 2015,第Null期

机译：确定生物热方程中随时间变化的灌注系数
2. Identification of a time-dependent bio-heat blood perfusion coefficient [J] . Jakub Krzysztof Grabski, Daniel Lesnic, B. Tomas Johansson International communications in heat and mass transfer . 2016,第Jula期

机译：确定时间相关的生物热血灌注系数
3. Reconstruction of the Space- and Time-Dependent Blood Perfusion Coefficient in Bio-Heat Transfer [J] . DUMITRU TRUCU, DEREK B. INGHAM, DANIEL LESNIC Heat Transfer Engineering . 2011,第9a10期

机译：生物热传递中时空依赖的血液灌注系数的重建
4. Inverse Problems of Simultaneous Determination of the Time-Dependent Right-Hand Side Term and the Coefficient in a Parabolic Equation [C] . Vitaly L. Kamynin Finite difference methods, theory and applications . 2015

机译：同时确定抛物线方程中与时间相关的右手边项和系数的反问题
5. Krylov Subspace Spectral method with multigrid for a time-dependent, variable-coefficient partial differential equation [D] . Dozier, Haley Renee. 2016

机译：具有时变，变系数偏微分方程的多重网格Krylov子空间谱方法
6. PARABOLIC SYSTEMS OF DIFFERENTIAL EQUATIONS WITH TIME-DEPENDENT COEFFICIENTS [O] . Felix E. Browder 1956

机译：时滞系数微分方程的抛物线方程组
7. Determination of singular time-dependent coefficients for wave equations from full and partial data [O] . Hu, Guanghui, Kian, Yavar 2017

机译：波动方程奇异时间相关系数的确定来自完整和部分数据

Determination of the time-dependent perfusion coefficient in the bio-heat equation

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