Determining conductivity by boundary measurements II. Interior results
作者： R. V. Kohn , M. Vogelius
关键词:
摘要: Abstract : In a recent paper the authors showed that an unknown real-analytic conductivity gamma may be determined from static boundary measurements. this document they extend analysis by demonstrating similar result holds for piecewise conductivities. addition, special case of layered structure it is shown three times continuously differentiable identifiable Originator-supplied keywords include: Inversion, Convergence, Algorithms, Estimates, Coefficients.
sci-hub.se 参考文章(12)
Michael Vogelius, Robert V. Kohn, IDENTIFICATION OF AN UNKNOWN CONDUCTIVITY BY MEANS OF MEASUREMENTS AT THE BOUNDARY. American Mathematical Soc. pp. 113- 123 ,(1983)
Pierre Grisvard, Elliptic Problems in Nonsmooth Domains ,(2011)
Jacques Louis Lions, Enrico Magenes, Non-homogeneous boundary value problems and applications ,(1972)
E. L. Isaacson, H. P. McKean, E. Trubowitz, The inverse Sturm–Liouville problem. II Communications on Pure and Applied Mathematics. ,vol. 37, pp. 1- 11 ,(1984) , 10.1002/CPA.3160370102
Robert Kohn, Michael Vogelius, Determining conductivity by boundary measurements Communications on Pure and Applied Mathematics. ,vol. 37, pp. 289- 298 ,(1984) , 10.1002/CPA.3160370302
J.R. Cannon, B.Frank Jones, Determination of the diffusivity of an anisotropic medium International Journal of Engineering Science. ,vol. 1, pp. 457- 460 ,(1963) , 10.1016/0020-7225(63)90003-X
Takashi Suzuki, Reiji Murayama, A uniqueness theorem in an identification problem for coefficients of parabolic equations Proceedings of the Japan Academy, Series A, Mathematical Sciences. ,vol. 56, pp. 259- 263 ,(1980) , 10.3792/PJAA.56.259
Lars Hörmander, Linear Partial Differential Operators ,(1963)
R. E. Langer, An inverse problem in differential equations Bulletin of the American Mathematical Society. ,vol. 39, pp. 814- 820 ,(1933) , 10.1090/S0002-9904-1933-05752-X
P. D. Lax, A stability theorem for solutions of abstract differential equations, and its application to the study of the local behavior of solutions of elliptic equations Communications on Pure and Applied Mathematics. ,vol. 9, pp. 747- 766 ,(1956) , 10.1002/CPA.3160090407