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Landau linearized operator and hypoellipticity

2011/03/08 by Radjesvarane Alexandre, Alexandre, Radjesvarane
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1103.1509

openalex publication_date 2011/03/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the linearized Landau operator for which we provide simple proofs of hypoellipticity, and in particular we recover the recent results of H' erau and Pravda-Starov \citeherau-all. Our arguments are elementary and in particular avoids any use of pseudo-differential calculus.

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