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008			220601s2019 sz | s |||| 0|eng d
020			_a9783031024184
024	7		_a10.1007/978-3-031-02418-4 _2doi
040			_aES-MaUEC _bspa _cES-MaUEC _dES-MaUEC
050		4	_aQA377 _b2019 EB
100	1		_aRamm, A. G. _eautor _4aut _4http://id.loc.gov/vocabulary/relators/aut _9686391 _q(Alexander G.)
245	1	0	_aInverse Obstacle Scattering with Non-Over-Determined Scattering Data _cby Alexander G. Ramm
250			_a1st edition 2019
264		1	_aCham _bSpringer International Publishing _c2019
300			_a1 recurso en línea (XV, 53 páginas)
336			_atexto _btxt _2rdacontent
337			_aelectrónico _bc _2rdamedia
338			_arecurso electrónico _bcr _2rdacarrier
347			_aarchivo de texto _bPDF
490	0		_aSynthesis Lectures on Mathematics & Statistics _x1938-1751
505	0		_aPreface -- Introduction -- The Direct Scattering Problem -- Inverse Obstacle Scattering -- Bibliography -- Author's Biography.
520			_aThe 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 ����. There were no such results in the literature, therefore the need for this book arose. This book contains a self-contained proof of the existence and uniqueness of the scattering solution for rough surfaces.
988			_aSynthesis Collection of Technology_2019
650		7	_2embne _9139227 _aEcuaciones diferenciales
650		7	_2embne _9405025 _aAnálisis numérico
776	0	8	_iPrinted edition: _z9783031002649
776	0	8	_iPrinted edition: _z9783031012907
776	0	8	_iPrinted edition: _z9783031035463
856	4	0	_uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://doi.org/10.1007/978-3-031-02418-4 _zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
942			_2lcc _cLE
998			_b04/2023 _dz _esc _zSI