The Scattering Problem for a Noncommutative Nonlinear Schrödinger Equation
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
The Scattering Problem for a Noncommutative Nonlinear Schrödinger Equation
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| Creator |
Durhuus, B.
Gayral, V. |
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| Description |
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.
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| Date |
2019-02-08T20:38:30Z
2019-02-08T20:38:30Z 2010 |
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| Type |
Article
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| Identifier |
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.
1815-0659 2010 Mathematics Subject Classification: 35K99; 58B34; 53D55 DOI:10.3842/SIGMA.2010.046 http://dspace.nbuv.gov.ua/handle/123456789/146317 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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