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GLOBAL UNIQUENESS IN THE INVERSE ACOUSTIC SCATTERING PROBLEM WITHIN POLYGONAL OBSTACLES |
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Citation: |
CHENG Jin,YAMAMOTO Masahiro.GLOBAL UNIQUENESS IN THE INVERSE ACOUSTIC SCATTERING PROBLEM WITHIN POLYGONAL OBSTACLES[J].Chinese Annals of Mathematics B,2004,25(1):1~6 |
Page view: 1142
Net amount: 724 |
Authors: |
CHENG Jin; YAMAMOTO Masahiro |
Foundation: |
Project supported by the National Natural Science Foundation of China (No.10271032), the Nonlinear
Mathematical Models and Methods Laboratory and the Grants 15340027 and 15654015 from the Japan
Society for the Promotion of Science and Sanwa Systems Development Co., Ltd. (Tokyo). |
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Abstract: |
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. |
Keywords: |
Inverse scattering, Uniqueness, Convex polygonal domains |
Classification: |
35R30, 35P25 |
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