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Entree


Perturbations by lower order terms do not destroy the global hypoellipticity of certain systems of pseudodifferential operators defined on torus

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Autor(es):
Ferra, Igor Ambo ; Petronilho, Gerson
Número total de Autores: 2
Tipo de documento: Artigo Científico
Fonte: Mathematische Nachrichten; v. 296, n. 7, p. 15-pg., 2023-04-11.
Resumo

We introduce a new class of smooth pseudodifferential operators on the torus whose calculus allows us to show that global hypoellipticity with a finite loss of derivatives of certain systems of pseudodifferential operators is stable under perturbations by lower order systems of pseudodifferential operators whose order depends on the loss of derivatives. We also 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