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The Scattering Problem for a Noncommutative Nonlinear Schrödinger Equation

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dc.contributor.author Durhuus, B.
dc.contributor.author Gayral, V.
dc.date.accessioned 2019-02-08T20:38:30Z
dc.date.available 2019-02-08T20:38:30Z
dc.date.issued 2010
dc.identifier.citation The Scattering Problem for a Noncommutative Nonlinear Schrödinger Equation / B. Durhuus, V. Gayral // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 18 назв. — англ. uk_UA
dc.identifier.issn 1815-0659
dc.identifier.other 2010 Mathematics Subject Classification: 35K99; 58B34; 53D55
dc.identifier.other DOI:10.3842/SIGMA.2010.046
dc.identifier.uri http://dspace.nbuv.gov.ua/handle/123456789/146317
dc.description.abstract We investigate scattering properties of a Moyal deformed version of the nonlinear Schrödinger equation in an even number of space dimensions. With rather weak conditions on the degree of nonlinearity, the Cauchy problem for general initial data has a unique globally defined solution, and also has solitary wave solutions if the interaction potential is suitably chosen. We demonstrate how to set up a scattering framework for equations of this type, including appropriate decay estimates of the free time evolution and the construction of wave operators defined for small scattering data in the general case and for arbitrary scattering data in the rotationally symmetric case. uk_UA
dc.description.sponsorship This paper is a contribution to the Special Issue “Noncommutative Spaces and Fields”. The full collection is available at http://www.emis.de/journals/SIGMA/noncommutative.html. uk_UA
dc.language.iso en uk_UA
dc.publisher Інститут математики НАН України uk_UA
dc.relation.ispartof Symmetry, Integrability and Geometry: Methods and Applications
dc.title The Scattering Problem for a Noncommutative Nonlinear Schrödinger Equation uk_UA
dc.type Article uk_UA
dc.status published earlier uk_UA


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