On a class of scattering equations

L.J.F. Broer; M.F.H. Schuurmans

doi:10.1007/BF01897847

On a class of scattering equations

L.J.F. Broer, M.F.H. Schuurmans

Applied Physics and Science Education

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In this paper a class of conservative wave equations treated by Broer and Peletier is considered when a single localised scatterer is present. A criterion for stability in the energy norm is derived. The formal solution of the scattering problem is given. The relation between the location of poles of the scattering matrix, the occurrence of standing wave solutions and the energy criterion is discussed.

Originele taal-2	Engels
Pagina's (van-tot)	161-174
Aantal pagina's	14
Tijdschrift	Applied Scientific Research
Volume	26
Nummer van het tijdschrift	1
DOI's	https://doi.org/10.1007/BF01897847
Status	Gepubliceerd - 1972

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10.1007/BF01897847

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title = "On a class of scattering equations",

abstract = "In this paper a class of conservative wave equations treated by Broer and Peletier is considered when a single localised scatterer is present. A criterion for stability in the energy norm is derived. The formal solution of the scattering problem is given. The relation between the location of poles of the scattering matrix, the occurrence of standing wave solutions and the energy criterion is discussed.",

author = "L.J.F. Broer and M.F.H. Schuurmans",

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AB - In this paper a class of conservative wave equations treated by Broer and Peletier is considered when a single localised scatterer is present. A criterion for stability in the energy norm is derived. The formal solution of the scattering problem is given. The relation between the location of poles of the scattering matrix, the occurrence of standing wave solutions and the energy criterion is discussed.

U2 - 10.1007/BF01897847

DO - 10.1007/BF01897847

M3 - Article

SN - 0003-6994

VL - 26

SP - 161

EP - 174

JO - Applied Scientific Research

JF - Applied Scientific Research

IS - 1

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On a class of scattering equations

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