Unique continuation along curves and hypersurfaces for second order anisotropic hyperbolic systems with real analytic coefficients

Cheng J; Lin CL; Nakamura G

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Unique continuation along curves and hypersurfaces for second order anisotropic hyperbolic systems with real analytic coefficients

机译：具有真实解析系数的二阶各向异性双曲系统沿曲线和超曲面的唯一连续性

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摘要

In this paper we prove the following kind of unique continuation property. That is, the zero on each geodesic of the solution in a real analytic hypersurface for second order anisotropic hyperbolic systems with real analytic coefficients can be continued along this curve.

机译：在本文中，我们证明了以下独特的延续性质。也就是说，对于具有实际解析系数的二阶各向异性双曲系统，在实际解析超曲面中解的每个测地线上的零可以沿着该曲线连续。

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《Proceedings of the American Mathematical Society》 |2005年第8期|共9页
作者
Cheng J; Lin CL; Nakamura G;
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正文语种 eng
中图分类数学;
关键词
unique continuation; anisotropic hyperbolic system; analytic coefficients; localized Fourier-Gauss transform;

机译：唯一连续;各向异性双曲系统;解析系数;局部傅里叶-高斯变换;

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专利

1. Unique continuation along curves and hypersurfaces for second order anisotropic hyperbolic systems with real analytic coefficients [J] . Cheng J, Lin CL, Nakamura G Proceedings of the American Mathematical Society . 2005,第8期

机译：具有真实解析系数的二阶各向异性双曲系统沿曲线和超曲面的唯一连续性
2. On the Unique Continuation along Curves of Germs of Solutions to Linear Differential Equations with Constant Coefficients [J] . N. A. Shananin Mathematical notes . 2017,第1a2期

机译：常系数线性微分方程解的胚芽沿曲线的唯一连续性
3. Quantitative unique continuation for operators with partially analytic coefficients. Application to approximate control for waves [J] . Laurent Camille, Leautaud Matthieu Journal of the European Mathematical Society: JEMS . 2019,第4期

机译：具有部分分析系数的运营商的定量独特延续。应用于近似控制波的控制
4. Estimating Both Reflection Coefficients of 2×2 Linear Hyperbolic Systems with Single Boundary Measurement [C] . Nils Christian A. Wilhelmsen, Florent Di Meglio IEEE Conference on Decision and Control . 2020

机译：用单边界测量估算2×2线性双曲线系统的反射系数
5. Strong unique continuation for hyperbolic operators. [D] . Luca, Mihnea-Paul. 2013

机译：双曲算子的强唯一连续性。
6. Restrictions on the coefficients of hyperbolic systems of partial differential equations [O] . Fritz John 1977

机译：偏微分方程双曲系统系数的限制
7. Unique continuation for solutions to Maxwell's system with non-analytic anisotropic coefficients [O] . Eller Matthias M. 2003

机译：具有非解析各向异性系数的麦克斯韦系统解的唯一连续性

Unique continuation along curves and hypersurfaces for second order anisotropic hyperbolic systems with real analytic coefficients

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