Global Strichartz estimates for nontrapping perturbations of the Laplacian

1999/12/26 by Hart F. Smith, Hart Smith, Christopher D. Sogge +2 · 2 citations
Mathematics · #35L05 #35L20 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Navier-Stokes equation solutions #math.AP #msc:35L05 #msc:35L20

paper · pdf · doi:10.48550/arxiv.math/9912204

To appear in Communications in PDE

arxiv created 1999/12/26 · openalex publication_date 1999/12/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The authors prove global Strichartz estimates for compact perturbations of the wave operator in odd dimensions when a non-trapping assumption is satisfied.

Citations

• Grazing rays and reflection of singularities of solutions to wave equations

Cited by

• Almost global existence for some semilinear wave equations
• Improved Strichartz estimates for a class of dispersive equations in the radial case and their applications to nonlinear Schrödinger and wave equation

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