Report
Exponential decay of the solutions to nonlinear Schr\'odinger systems
| العنوان: | Exponential decay of the solutions to nonlinear Schr\'odinger systems |
|---|---|
| المؤلفون: | Angeles, Felipe, Clapp, Mónica, Saldaña, Alberto |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Analysis of PDEs, 35B40, 35B45, 35J47, 35B06, 35J10 |
| الوصف: | We show that the components of finite energy solutions to general nonlinear Schr\"odinger systems have exponential decay at infinity. Our results apply to positive or sign-changing components, and to cooperative, competitive, or mixed-interaction systems. As an application, we use the exponential decay to derive an upper bound for the least possible energy of a solution with a prescribed number of positive and nonradial sign-changing components. Comment: 17 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2301.11245 |
| رقم الانضمام: | edsarx.2301.11245 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |