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Scattering for the focusing, $ L^2 $-supercritical fourth-order NLS in one dimension.
- Source :
- Discrete & Continuous Dynamical Systems: Series A; Feb2025, Vol. 45 Issue 2, p1-31, 31p
- Publication Year :
- 2025
-
Abstract
- In this paper, we consider the fourth-order Schrödinger equations with focusing, $ L^2 $-supercritical nonlinearity in one dimension. We prove the global existence and scattering of even solutions below the ground state threshold, under the assumption that the threshold for even solutions is less than a certain constant times the threshold for general solutions. [ABSTRACT FROM AUTHOR]
- Subjects :
- NONLINEAR Schrodinger equation
SCHRODINGER equation
Subjects
Details
- Language :
- English
- ISSN :
- 10780947
- Volume :
- 45
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Discrete & Continuous Dynamical Systems: Series A
- Publication Type :
- Academic Journal
- Accession number :
- 180808390
- Full Text :
- https://doi.org/10.3934/dcds.2024100