Work

Bilinear Strichartz estimates on the hyperbolic space and the cubic NLS

Year: 2026

Type: preprint

Abstract: We prove bilinear Strichartz estimates for the Schrödinger equation on the hyperbolic space. These bilinear estimates are then applied, as part of an I-method argument, to establish global well-posedness for the cubic defocusing nonlinear Schrödinger equation on the hyperbolic plane for regularities above 4/7. The I-method is implemented in physical space using a heat-based modified energy.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.32358

Author: Gavrus, Cristian

Language: English

Topic: Advanced Mathematical Physics Problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7223690429

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