首页|Wagner AA de Moraes Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Ghent, Belgium; wagneraugusto.almeidademoraes@ugent.be

Wagner AA de Moraes Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Ghent, Belgium; wagneraugusto.almeidademoraes@ugent.be

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In this paper, we characterize completely the global hypoellipticity and global solvability in the sense of Komatsu (of Roumieu and Beurling types) of constant-coefficient vector fields on compact Lie groups. We also analyze the influence of perturbations by lower-order terms in the preservation of these properties.

Compact Lie groupsglobal hypoellipticityglobal solvabilityKomatsu classescomplex vector fieldslow-order perturbationsCOMPLEX VECTOR-FIELDSCOMPACT LIE-GROUPSGLOBAL SOLVABILITYULTRADIFFERENTIABLE FUNCTIONSDIFFERENTIAL-OPERATORSHYPOELLIPTICITYULTRADISTRIBUTIONSPERTURBATIONSREGULARITYSYSTEMS

Kirilov, Alexandre、de Moraes, Wagner A. A.、Ruzhansky, Michael

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Univ Fed Parana

Univ Ghent

2021

10.4171/ZAA/1691

Zeitschrift fur Analysis und ihre Anwendungen

Zeitschrift fur Analysis und ihre Anwendungen

SCI
ISSN：0232-2064
年,卷(期)：2021.40(4)
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