Dispersion estimates for the wave equation outside of a cylinder]Dispersive estimates for the wave equation outside a cylinder in ℝ³

2022/03/31 by Felice Iandoli, Iandoli, Felice, Oana Ivanovici +1
Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2203.16968

openalex publication_date 2022/03/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the wave equation with Dirichlet boundary conditions in the exterior of a cylinder in R 3 and we construct a global in time parametrix to derive sharp dispersion estimates for all frequencies (low and high) and, as a corollary, Strichartz estimates, all matching the R 3 case.

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