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Autor(es):
Cordaro, Paulo D. ; Furdos, Stefan
Número total de Autores: 2
Tipo de documento: Artigo Científico
Fonte: Mathematische Nachrichten; v. 297, n. 7, p. 15-pg., 2024-02-28.
Resumo

In 1980, Metivier characterized the analytic (and Gevrey) hypoellipticity of L2$L<^>2$-solvable partial linear differential operators by a priori estimates. In this note, we extend this characterization to ultradifferentiable hypoellipticity with respect to Denjoy-Carleman classes given by suitable weight sequences. We also discuss the case when the solutions can be taken as hyperfunctions and present some applications. (AU)

Processo FAPESP: 18/14316-3 - Teoria geométrica de EDP e análise complexa multidimensional
Beneficiário:Paulo Domingos Cordaro
Modalidade de apoio: Auxílio à Pesquisa - Temático