Inhomogeneous Strichartz estimates

2003/12/11 by Damiano Foschi, Foschi, Damiano · 7 citations
Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Primary 35B45 #Secondary 35Q55 #math.AP #msc:35B45 #msc:35Q55

paper · pdf · doi:10.48550/arxiv.math/0312240

20 pages, 4 figures

arxiv created 2003/12/11 · openalex publication_date 2003/12/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We look for the optimal range of Lebesque exponents for which inhomogeneous Strichartz estimates are valid. We show that it is larger than the one given by admissible exponents for homogeneous estimates. We prove inhomogeneous estimates adopting the abstract setting and interpolation techniques already used by Keel and Tao for the endpoint case of the homogenenous estimates. Applications to Schrodinger equations are given, which extend previous work by Kato.

Citations

• Estimates for translation invariant operators in Lp spaces

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