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Titlebook: Inverse Obstacle Scattering with Non-Over-Determined Scattering Data; Alexander G. Ramm Book 2019 Springer Nature Switzerland AG 2019

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发表于 2025-3-21 17:10:55 | 显示全部楼层 |阅读模式
书目名称Inverse Obstacle Scattering with Non-Over-Determined Scattering Data
编辑Alexander G. Ramm
视频videohttp://file.papertrans.cn/475/474673/474673.mp4
丛书名称Synthesis Lectures on Mathematics & Statistics
图书封面Titlebook: Inverse Obstacle Scattering with Non-Over-Determined Scattering Data;  Alexander G. Ramm Book 2019 Springer Nature Switzerland AG 2019
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
doihttps://doi.org/10.1007/978-3-031-02418-4
isbn_softcover978-3-031-01290-7
isbn_ebook978-3-031-02418-4Series ISSN 1938-1743 Series E-ISSN 1938-1751
issn_series 1938-1743
copyrightSpringer Nature Switzerland AG 2019
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Alexander G. Rammies, of which 1500 and their one million members are represented by the European federation of RE cooperatives, REScoop.eu (REScoop.eu 2018b, 2018c; Huybrechts et al. 2018) and registered as a Renewable Energy Sources Cooperative (REScoop). Thereby RE cooperatives have the potential to not only beco
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Alexander G. Rammtoday, RE consumer (co-)ownership comes mainly in two forms: individual ownership and/or leasing arrangements, especially for small PV or battery storage projects, but also for heat pumps, with self-sufficiency being a major motivation as the legal framework is shifting away from guaranteed feed-in
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1938-1743 ce type...The above uniqueness theorem is of principal importance because the non-over-determined data are the minimal data determining uniquely the unknown ���978-3-031-01290-7978-3-031-02418-4Series ISSN 1938-1743 Series E-ISSN 1938-1751
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Introduction,f finding the scattering solution u(x, α. as the solution to the Helmholtz equation.where .(.) is the unit normal to . pointing into .’ = ℝ. ., ζ(.) is a continuous function, . is .-smooth, and the . in (1.4) is uniform in directions ..
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978-3-031-01290-7Springer Nature Switzerland AG 2019
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