Landau linearized operator and hypoellipticity
Radjesvarane Alexandre (IRENAV)
TL;DR
This paper presents elementary proofs of hypoellipticity for the linearized Landau operator, simplifying previous results and avoiding pseudo-differential calculus, thereby advancing understanding of its regularity properties.
Contribution
Provides simple, elementary proofs of hypoellipticity for the linearized Landau operator, recovering recent results without pseudo-differential calculus.
Findings
Confirmed hypoellipticity of the linearized Landau operator
Simplified proofs avoiding pseudo-differential calculus
Reproduced recent hypoellipticity results
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 \cite{herau-all}. Our arguments are elementary and in particular avoids any use of pseudo-differential calculus.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Numerical methods in inverse problems · advanced mathematical theories