期刊文献+

An Inverse Problem for Maxwell's Equations in Anisotropic Media 被引量:1

An Inverse Problem for Maxwell's Equations in Anisotropic Media
原文传递
导出
摘要 The authors consider Maxwell's equations for an isomagnetic anisotropic and inhomogeneous medium in two dimensions, and discuss an inverse problem of determining the permittivity tensor (ε1,ε2,ε2,ε3 ) and the permeability μ in the constitutive relations from a finite number of lateral boundary measurements. Applying a Carleman estimate, the authors prove an estimate of the Lipschitz type for stability, provided that ε1,ε2,ε3,μ satisfy some a priori conditions.
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2007年第1期35-54,共20页 数学年刊(B辑英文版)
基金 Project supported by the Rotary Yoneyama Doctor Course Scholarship (Japan) the Fujyu-kai (Tokyo, Japan) the 21st Century Center of Excellence Program at Graduate School of Mathematical Sciences, the University of Tokyo, the Japan Society for the Promotion of Science (No. 15340027) the Ministry of Education, Cultures, Sports and Technology (No. 17654019).
关键词 Anisotropic media Inverse problem Maxwell's equations Carleman estimate Lipschitz stability 逆向问题 Maxwell方程 各向异性介质 Carleman估计 稳定性
  • 相关文献

参考文献24

  • 1Bukhgeim, A. L., Introduction to the Theory of Inverse Problems, VSP, Utrecht, 2000.
  • 2Bukhgeim, A. L. and Klibanov, M. V., Global uniqueness of a class of multidimensional inverse problems,Soviet Math. Dokl., 24, 1981, 244-247.
  • 3Duvaut, G. and Lions, J. L., Inequalities in Mechanics and Physics, Springer-Verlag, 1976.
  • 4Imanuvilov, O. Y., Isakov, V. and Yamamoto, M., An inverse problem for the dynamical Lamé system with two sets of boundary data, Comm. Pure Appl. Math., 56, 2003, 1366-1382.
  • 5Imanuvilov, O. Y. and Yamamoto, M., Global Lipschitz stability in an inverse hyperbolic problem by interior observations, Inverse Problems, 17, 2001, 717-728.
  • 6Imanuvilov, O. Y. and Yamamoto, M., Carleman estimate for a parabolic equation in a Sobolev space of negative order and its applications, Control of Nonlinear Distributed Parameter Systems, Lecture Notes in Pure and Appl. Math., Vol. 218, Marcel-Dekker, New York, 2001, 113-137.
  • 7Imanuvilov, O. Y. and Yamamoto, M., Determination of a coefficient in an acoustic equation with a single measurement, Inverse Problems, 19, 2003, 157-171.
  • 8Isakov, V., Uniqueness of the continuation across a time-like hyperplane and related inverse problems for hyperbolic equations, Comm. Partial Differential Equations, 14, 1989, 465-478.
  • 9Isakov, V., Inverse Problems for Partial Differential Equations, Springer-Verlag, Berlin, 1998.
  • 10Isakov, V., Carleman type estimates and their applications, New Analytic and Geometric Methods in Inverse Problems, Springer-Verlag, Berlin, 2004, 93-125.

引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部