Dispersive estimates for the Schrodinger equation in dimensions four and five

2008/02/14 by F. F. Cardoso, Cardoso, Fernando, Claudio Cuevas +3
Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.0802.1987

openalex publication_date 2008/02/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove optimal (that is, without loss of derivatives) dispersive estimates for the Schrodinger group e^it(-Δ+V) for a class of real-valued potentials V∈ C^k(Rⁿ) with k>(n-3)/2, where n=4,5.

Citations

• Time decay for solutions of Schr�dinger equations with rough and time-dependent potentials

Related

• High frequency dispersive estimates for the Schrodinger equation in high dimensions
• Optimal dispersive estimates for the wave equation with C^(n-3)/2 potentials in dimensions 4≤ n≤ 7
• Dispersive estimates of solutions to the Schrodinger equation in dimensions n≥ 4
• Low frequency dispersive estimates for the Schrodinger group in higher dimensions
• Dispersive estimates for Schroedinger operators: A survey