Energy Scattering for Schrödinger Equation with Exponential Nonlinearity in Two Dimensions
Author
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-18
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
When the spatial dimensions n=2, the initial data u0∈H1, and the Hamiltonian H(u0)≤1, we prove that the scattering operator is well defined in the whole energy space H1(ℝ2) for nonlinear Schrödinger equation with exponential nonlinearity (eλ|u|2-1)u, where 0<λ<4π.
American Psychological Association (APA)
Wang, Shuxia. 2013. Energy Scattering for Schrödinger Equation with Exponential Nonlinearity in Two Dimensions. Journal of Function Spaces،Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-1006362
Modern Language Association (MLA)
Wang, Shuxia. Energy Scattering for Schrödinger Equation with Exponential Nonlinearity in Two Dimensions. Journal of Function Spaces No. 2013 (2013), pp.1-13.
https://search.emarefa.net/detail/BIM-1006362
American Medical Association (AMA)
Wang, Shuxia. Energy Scattering for Schrödinger Equation with Exponential Nonlinearity in Two Dimensions. Journal of Function Spaces. 2013. Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-1006362
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1006362