Abstract
We prove that the uniform radius of spatial analyticity (Formula presented.) of solution at time (Formula presented.) to the one-dimensional fourth-order nonlinear Schrödinger equation (Formula presented.) cannot decay faster than (Formula presented.) for large (Formula presented.), given that the initial data are analytic with fixed radius (Formula presented.). The main ingredients in the proof are a modified Gevrey space, a method of approximate conservation law, and a Strichartz estimate for free wave associated with the equation.
| Original language | English |
|---|---|
| Pages (from-to) | 14867-14877 |
| Number of pages | 11 |
| Journal | Mathematical Methods in the Applied Sciences |
| Volume | 47 |
| Issue number | 18 |
| DOIs | |
| Publication status | Published - Dec 2024 |
Keywords
- fourth-order NLS
- lower bound
- modified Gevrey spaces
- radius of analyticity
ASJC Scopus subject areas
- General Mathematics
- General Engineering
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