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On the decay property of the cubic fourth-order Schrodinger equation.
- Source :
- Proceedings of the American Mathematical Society; Jun2023, Vol. 151 Issue 6, p2619-2630, 12p
- Publication Year :
- 2023
-
Abstract
- In this short paper, we prove that the solution of the cubic fourth-order Schrödinger equation (4NLS) on \mathbb {R}^d (5 \leq d \leq 8) enjoys the same decay property as its linear solution does. This result is proved via a bootstrap argument based on the corresponding global result by Pausader [J. Funct. Anal. 256 (2009), pp. 2473–2517]. This result can be extended to more general dispersive equations (including some more 4NLS models) with scattering asymptotics. [ABSTRACT FROM AUTHOR]
- Subjects :
- SCHRODINGER equation
EQUATIONS
ARGUMENT
Subjects
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 151
- Issue :
- 6
- Database :
- Complementary Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 163135475
- Full Text :
- https://doi.org/10.1090/proc/16325