A Paley-Wiener Theorem for Periodic Scattering with Applications to the Korteweg-de Vries Equation

dc.contributor.author	Egorova, I.
dc.contributor.author	Tesch, l G.
dc.date.accessioned	2016-10-01T15:05:28Z
dc.date.available	2016-10-01T15:05:28Z
dc.date.issued	2010
dc.identifier.citation	A Paley-Wiener Theorem for Periodic Scattering with Applications to the Korteweg-de Vries Equation / I. Egorova, G. Teschl // Журнал математической физики, анализа, геометрии. — 2010. — Т. 6, № 1. — С. 21-33. — Бібліогр.: 24 назв. — англ.	uk_UA
dc.identifier.issn	1812-9471
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/106630
dc.description.abstract	A one-dimensional SchrÄodinger operator which is a short-range perturbation of a finite-gap operator is considered. There are given the necessary and su±cient conditions on the left/right reflection coeffcient such that the difference of the potentials has finite support to the left/right, respectively. Moreover, these results are applied to show a unique continuation type result for solutions of the Korteweg{de Vries equation in this context. By virtue of the Miura transform an analogous result for the modified Korteweg-de Vries equation is also obtained.	uk_UA
dc.description.sponsorship	We are very grateful to F. Gesztesy for hints with respect to the literature. G. Teschl gratefully acknowledges the stimulating atmosphere at the Centre for Advanced Study at the Norwegian Academy of Sciences and Letters in Oslo during June 2009 where parts of this paper were written as a part of the international research program on Nonlinear Partial Differential Equations.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України	uk_UA
dc.relation.ispartof	Журнал математической физики, анализа, геометрии
dc.title	A Paley-Wiener Theorem for Periodic Scattering with Applications to the Korteweg-de Vries Equation	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA