Precise smoothing effect in the exterior of balls

2009/04/30 by Oana Ivanovici, Ivanovici, Oana
Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.0904.4745

openalex publication_date 2009/04/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We are interested in this article in investigating the smoothing effect properties of the solutions of the Schrodinger equation. We deduce global well-posedness results for the cubic Schrodinger equation in the exterior of several convex obstacles of R³.

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