Landau linearized operator and hypoellipticity

Mathematics – Analysis of PDEs

Scientific paper

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Scientific paper

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 \cite{herau-all}. Our arguments are elementary and in
particular avoids any use of pseudo-differential calculus.

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