Inverse Problems of Recovering External Sources in the Equation of Longitudinal Wave Propagation

G. V. Namsaraeva

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Inverse Problems of Recovering External Sources in the Equation of Longitudinal Wave Propagation

机译：在纵向波传播方程中恢复外部源的反问题

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The inverse problems are considered for the equation of longitudinal wave propagation under the overdetermination conditions of the final and integral types. The main purpose of the study is to prove the existence of regular solutions of inverse problems of recovering the unknown external sources in addition to the solution. One of the suggested approaches bases on reducing the inverse problem to an integrodifferential equation.

机译：在最终类型和积分类型的超确定条件下，纵向波传播方程考虑了反问题。该研究的主要目的是证明除了解之外，还存在关于回收未知外部源的反问题的常规解。一种建议的方法基于将反问题简化为一个积分微分方程。

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《Journal of applied and industrial mathematics》 |2016年第3期|共11页
作者
G. V. Namsaraeva;
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正文语种 eng
中图分类应用数学;
关键词
longitudinal wave propagation; inverse problem; integrodifferential equation; regular solution; a priori estimate; existence; uniqueness;

机译：纵向波传播;反问题;积分微分方程;正则解;先验估计;存在性;唯一性;

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1. Inverse Problems of Recovering External Sources in the Equation of Longitudinal Wave Propagation [J] . G. V. Namsaraeva Journal of applied and industrial mathematics . 2016,第3期

机译：在纵向波传播方程中恢复外部源的反问题
2. On the Propagation of Longitudinal Stress Waves in Solids and Fluids by Unifying the Navier-Lame and Navier-Stokes Equations [J] . Barzkar Ahmad, Adibi Hojatollah Mathematical Problems in Engineering . 2015,第PTa7期

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3. On the Propagation of Longitudinal Stress Waves in Solids and Fluids by Unifying the Navier-Lame and Navier-Stokes Equations [J] . AhmadBarzkar, HojatollahAdibi Mathematical Problems in Engineering: Theory, Methods and Applications . 2015,第3期

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Inverse Problems of Recovering External Sources in the Equation of Longitudinal Wave Propagation

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