On Gagliardo–Nirenberg inequalities withvanishing symbols

We prove interpolation inequalities of Gagliardo-Nirenberg type involving Fourier symbols that vanish on hypersurfaces in $\mathbb{R}^d$.

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Publication Details

Journal
Analysis & PDE
Published
2024-11-21
DOI
https://doi.org/10.2140/apde.2024.17.3447
Primary Topic
Advanced Mathematical Physics Problems
Type
article
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article

On Gagliardo–Nirenberg inequalities withvanishing symbols

Rainer Mandel
Analysis & PDE
Advanced Mathematical Physics Problems
article

On Gagliardo–Nirenberg inequalities withvanishing symbols

Rainer Mandel
article en

Abstract

We prove interpolation inequalities of Gagliardo-Nirenberg type involving Fourier symbols that vanish on hypersurfaces in $\mathbb{R}^d$.

Analysis & PDEVol. 17(10)
Karlsruhe Institute of Technology (DE)
Reduced inequalities
Openalex Percentile: Top 99%
Advanced Mathematical Physics Problems
DOIOpen Access PDFOpenAlex
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On Gagliardo–Nirenberg inequalities withvanishing symbols — Rainer Mandel · Analysis & PDE (2024) | TGRS Research Map | TGRS