Remarks on endpoint Strichartz estimates for Schrödinger equations with the critical inverse-square potential

2016/07/11 by Haruya Mizutani, Mizutani, Haruya
Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.1607.02848

openalex publication_date 2016/07/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The purpose of this paper is to study the validity of global-in-time Strichartz estimates for the Schrödinger equation on ℝⁿ, n≥3, with the negative inverse-square potential -σ|x|^-2 in the critical case σ=(n-2)²/4. It turns out that the situation is different from the subcritical case σ

Citations

• Time decay for solutions of Schr�dinger equations with rough and time-dependent potentials
• Strichartz estimates for the Wave and Schrodinger Equations with the Inverse-Square Potential

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