Energy Scattering for Schrödinger Equation with Exponential Nonlinearity in Two Dimensions

Author

Wang, Shuxia

Source

Journal of Function Spaces

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

Mathematics

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