Spherical Averaged Endpoint Strichartz Estimates for The Two-dimensional Schrodinger Equations with Inverse Square Potential

2008/11/22 by I‐Kun Chen, Chen, I-Kun
Mathematics · #35M99 #42A45 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.0811.3686

openalex publication_date 2008/11/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The endpoint Strichartz estimates for two-dimensional Schrodinger equations were recovered by averaging the solutions in L² in the angular variable by Tao. For Schrodinger equations with defocusing inverse square potential, we proved that the homogeneous endpoint estimates hold under this setting. In particular, the original versions of endpoint estimates hold for radial data.

Citations

• Space‐time estimates for null forms and the local existence theorem
• Strichartz estimates for the Wave and Schrodinger Equations with the Inverse-Square Potential

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