arXiv (All)
open access
Polynomial growth of Sobolev norms of solutions of the fractional NLS equation on $\mathbb{T}^d$
We study polynomial growth of Sobolev norms for the defocusing fractional nonlinear Schrödinger equation on the standard torus $\mathbb{T}^d$, $d \ge 2$. Uniform stationary phase and a frequency-dependent subdivision of time give Strichartz estimates which yield local well-posedness and, for the cub
Conceptio Open Archive
Analyze & explore related research in Conceptio
Connect this record directly into your research workflow or AI agent. Explore citations across open repositories, query full text, and export structured proof bundles.
This document is indexed with metadata only: full text is not available in the archive for this record. Open the official source ↗
Related documents
- Modified wave operators for nonlinear Schrödinger equations in the full subcritical long range regime#998651
- Growth of Sobolev norms for unbounded perturbations of the Schrödinger equation on flat tori#652975
- Stability in the log-modified nonlinear Schrödinger equation in dimension one#1083329
- Stochastic dynamics from O(2N) fractional Laplacian vector model and O(N) vector model free energy in finite temperature#1070275
- Growth Estimates for Solutions to the Wave Equation on Damek--Ricci Spaces#792676
Record · ID 1233805
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Bring this data into your agent: Connect via MCP or API · 20 free credits to start · no card required
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive