Spectral Invariance of Pseudodifferential Boundary Value Problems on Manifolds with Conical Singularities

Autor(es)

Lopes, Pedro T. P. ^[1] ; Schrohe, Elmar ^[2]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Matemat & Estat, Rua Matao 1010, BR-05508090 Sao Paulo, SP - Brazil

^[2] Leibniz Univ Hannover, Inst Anal, Welfengarten 1, D-30167 Hannover - Germany

• Tipo de documento: Artigo Científico
• Fonte: JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS; v. 25, n. 3, p. 1147-1202, JUN 2019.
• Citações Web of Science: 0

Resumo

We prove the spectral invariance of the algebra of classical pseudodifferential boundary value problems on manifolds with conical singularities in the L-p-setting. As a consequence we also obtain the spectral invariance of the classical Boutet de Monvel algebra of zero order operators with parameters. In order to establish these results, we show the equivalence of Fredholm property and ellipticity for both cases. (AU)

• Processo FAPESP: 16/07016-8 - Aplicações de métodos pseudo-diferenciais para problemas de contorno
• Beneficiário: Pedro Tavares Paes Lopes
• Modalidade de apoio: Auxílio à Pesquisa - Regular