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GLOBAL UNIQUENESS IN THE INVERSE ACOUSTIC SCATTERING PROBLEM WITHIN POLYGONAL OBSTACLES 被引量:2

GLOBAL UNIQUENESS IN THE INVERSE ACOUSTIC SCATTERING PROBLEM WITHIN POLYGONAL OBSTACLES
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摘要 The authors prove the uniqueness in the inverse acoustic scattering problem within convex polygonal domains by a single incident direction in the sound-soft case and the sound-hard case, and by two incident directions in the case of the impedance boundary condition. The proof is based on analytic continuation on a straight line.
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2004年第1期1-6,共6页 数学年刊(B辑英文版)
基金 Project supported by the National Natural Science Foundation of China (No.10271032) the Nonlinear Mathematical Models and Methods Laboratory and the Grants 15340027 15654015 from the Japan Society for the Promotion of Science and Sanwa Systems Development Co.Ltd. (Tokyo).
关键词 Inverse scattering UNIQUENESS Convex polygonal domains 全局唯一性 声学 散射 多角形障碍物 边界条件
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参考文献18

  • 1[1]Ari, N. & Firth, J. R., Acoustic inverse scattering problems of polygonal shape reconstruction, Inverse Problems, 6(1990), 299-309. 被引量:1
  • 2[2]Cakoni, F., Colton, D. & Monk, P., The direct and inverse scattering problems for partially coated obstacles, Inverse Problems, 17(2001), 1997-2015. 被引量:1
  • 3[3]Cheng, J. & Yamamoto, M., Uniqueness in the inverse acoustic scattering problem within non-trapping polygonal obstacles by at most two incident waves, to appear in Inverse Problems, 2003. 被引量:1
  • 4[4]Colton, D., Coyle, J. & Monk, P., Recent developments in inverse acoustic scattering theory, SIAM Review, 42(2000), 369-414. 被引量:1
  • 5[5]Colton, D. & Kress, R., Inverse Acoustic and Electromagnetic Scattering Theory, Second Edition,Springer-Verlag, Berlin, 1998. 被引量:1
  • 6[6]Colton, D. & Sleeman, B. D., Uniqueness theorems for the inverse problem of acoustic scattering, IMA J. Appl. Math., 31(1983), 253-259. 被引量:1
  • 7[7]Elschner, J. & Yamamoto, M., An inverse problem in periodic diffractive optics: reconstruction of Lipschitz grating profiles, Appl. Anal., 81(2002), 1307-1328. 被引量:1
  • 8[8]Elschner, J., Schmidt, G. & Yamamoto, M., An inverse problem in periodic diffractive optics: global uniqueness with a single wavenumber, Inverse Problems, 19(2003), 779-787. 被引量:1
  • 9[9]Ghosh Roy, D. N. & Couchman, L. S., Inverse Problems and Inverse Scattering of Plane Waves,Academic Press, San Diego, 2002. 被引量:1
  • 10[10]Gilbarg, D. & Trudinger, N. S., Elliptic Partial Differential Equations of Second Order, Springer-Verlag,Berlin, 1977. 被引量:1

同被引文献21

  • 1刘继军,程晋,中村玄.Reconstruction and uniqueness of an inverse scattering problem with impedance boundary[J].Science China Mathematics,2002,45(11):1408-1419. 被引量:7
  • 2WANG HaiBing 1,2 & LIU JiJun 1 1 Department of Mathematics,Southeast University,Nanjing 210096,China,2 School of Mathematics and Computational Science,Hunan University of Science and Technology,Xiangtan 411201,China.On the reconstruction of Dirichlet-to-Neumann map in inverse scattering problems with stability estimates[J].Science China Mathematics,2010,53(8):2069-2084. 被引量:2
  • 3Agmon S, Hormander L. Asymptotic properties of solutions of differential equations with simple eharacteristics[J]. Journal D'Analyse Mathematique , 1976,30: 1-37. 被引量:1
  • 4Colton D, Coyle J, Monk P. Recent developments in inverse acoustic scattering theory[J]. SIAM, 2000, 42 : 369-414. 被引量:1
  • 5Colton D, Kress R. Inverse acoustic and electromagnetic scattering theory[M]. 2nd ed. Berlin: Springer- Verlay, 1998. 被引量:1
  • 6Colton D, Kress R. Integral equation methods in scattering theory[M]. N Y: John Wiley and Son, 1983. 被引量:1
  • 7Gintides D. Local uniqueness for the inverse scattering problem in acoustics via the Faber-Krahn inequality [J]. Inverse Problems, 2005,21(4):1195-1205. 被引量:1
  • 8Liu Changmei. An inverse obstacle problem: a uniqueness theorem for balls[J]. Institute for Mathematics and Its Applications, 1997,90: 347. 被引量:1
  • 9Yun K Y. The reflection of solutions of Helmholtz equation and an application[J]. Comm Korean Math Soc, 2000,16(3): 427-436. 被引量:1
  • 10Alessandrini G, Rondi L. Determining a sound-soft polyhedral scatterer by a single farfield measurement [J]. Proceedings of the American Mathrnatical Society, 2005,133(6) : 1685-1691. 被引量:1

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