Refined L^2-decay estimate of solutions to a system of dissipative nonlinear Schroedinger equations
We study the Cauchy problem of a system of dissipative nonlinear Schr¨odinger equations. Our target is to obtain a time-decay estimate of the solutions in $L^2$ without size-restriction on the initial data. By imposing high regularity and rapid spatial decay on the initial data, we find that the $L^2$-norm of the solutions decays at the rate of $O((\log t)^{−2/5})$ as $t \to \infty$. It is a refined decay-estimate, compared to former works.
Authors
- Takuya Sato (ORCID: https://orcid.org/0000-0002-6198-2234)
- Naoyasu Kita
- Yuji Sagawa (ORCID: https://orcid.org/0009-0007-6012-1700)
- Hayato Miyazaki (ORCID: https://orcid.org/0000-0002-4119-3406)
Institutions
- Kagawa University (JP)
- Osaka Metropolitan University (JP)
- Tokyo Metropolitan University (JP)
- Kumamoto University (JP)
Publication Details
- Journal
- Journal of Applied Science and Engineering A
- Published
- 2024-12-01
- DOI
- https://doi.org/10.5564/jase-a.v5i1.3408
- Primary Topic
- Advanced Mathematical Physics Problems
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Ministry of Education, Culture, Sports, Science and Technology
- Japan Society for the Promotion of Science