| 书目名称 | Inverse Obstacle Scattering with Non-Over-Determined Scattering Data | | 编辑 | Alexander G. Ramm | | 视频video | | | 丛书名称 | Synthesis Lectures on Mathematics & Statistics | | 图书封面 |  | | 描述 | .The inverse obstacle scattering problem consists of finding the unknown surface of a body (obstacle) from the scattering ����(����;����;����), where ����(����;����;����) is the scattering amplitude, ����;���� ���� ����² is the direction of the scattered, incident wave, respectively, ����² is the unit sphere in the ℝ³ and k > 0 is the modulus of the wave vector. The scattering data is called non-over-determined if its dimensionality is the same as the one of the unknown object. By the dimensionality one understands the minimal number of variables of a function describing the data or an object. In an inverse obstacle scattering problem this number is 2, and an example of non-over-determined data is ����(����) := ����(����;����₀;����₀). By sub-index 0 a fixed value of a variable is denoted...It is proved in this book that the data ����(����), known for all ���� in an open subset of ����², determines uniquely the surface ���� and the boundary condition on ����. This condition can be the Dirichlet, or the Neumann, or the impedance type...The above uniqueness theorem is of principal importance because the non-over-determined data are the minimal data determining uniquely the unknown ��� | | 出版日期 | Book 2019 | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-031-02418-4 | | isbn_softcover | 978-3-031-01290-7 | | isbn_ebook | 978-3-031-02418-4Series ISSN 1938-1743 Series E-ISSN 1938-1751 | | issn_series | 1938-1743 | | copyright | Springer Nature Switzerland AG 2019 |
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发表于 2025-3-21 17:10:55
