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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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發(fā)表于 2025-3-21 17:10:55 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Inverse Obstacle Scattering with Non-Over-Determined Scattering Data
編輯Alexander G. Ramm
視頻videohttp://file.papertrans.cn/475/474673/474673.mp4
叢書名稱Synthesis Lectures on Mathematics & Statistics
圖書封面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 ?3 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 ????(????) := ????(????;?????;?????). 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 .’ = ?. ., 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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