Propriedades gen??ricas de autofun????es e autovalores de operadores el??pticos na forma divergente em variedades Riemannianas

Autor: Mendes, Abra??o Caetano
Přispěvatelé: Marrocos, Marcus Ant??nio Mendon??a, Gomes, Jos?? Nazareno Vieira, Tsonev, Dragomir Mitkov, Miyagaki, Ol??mpio Hiroshi, Presoto, Adilson Eduardo
Jazyk: portugalština
Rok vydání: 2020
Předmět:
Zdroj: Biblioteca Digital de Teses e Dissertações da UFAM
Universidade Federal do Amazonas (UFAM)
instacron:UFAM
Popis: Submitted by Abra??o Mendes (abraaomendes90@gmail.com) on 2020-03-13T21:20:12Z No. of bitstreams: 3 TeseAbra??o_vers??o final (1).pdf: 984399 bytes, checksum: a107e144bf80cf2a31be771f1e649de7 (MD5) AUTORIZA????O DEP??SITO VERS??O FINAL-ABRAAO_20200313152343.pdf: 379419 bytes, checksum: 6f5535ddd81ded86d0ab46ce9407fa70 (MD5) Ata de Defesa - Abra??o.pdf: 896791 bytes, checksum: 11e8750ab6dbaa3f0f6ce0b009baa0c3 (MD5) Approved for entry into archive by P??s Gradua????o Matem??tica (pos-matematica@ufam.edu.br) on 2020-03-17T20:39:50Z (GMT) No. of bitstreams: 3 TeseAbra??o_vers??o final (1).pdf: 984399 bytes, checksum: a107e144bf80cf2a31be771f1e649de7 (MD5) AUTORIZA????O DEP??SITO VERS??O FINAL-ABRAAO_20200313152343.pdf: 379419 bytes, checksum: 6f5535ddd81ded86d0ab46ce9407fa70 (MD5) Ata de Defesa - Abra??o.pdf: 896791 bytes, checksum: 11e8750ab6dbaa3f0f6ce0b009baa0c3 (MD5) Approved for entry into archive by Divis??o de Documenta????o/BC Biblioteca Central (ddbc@ufam.edu.br) on 2020-03-18T02:30:07Z (GMT) No. of bitstreams: 3 TeseAbra??o_vers??o final (1).pdf: 984399 bytes, checksum: a107e144bf80cf2a31be771f1e649de7 (MD5) AUTORIZA????O DEP??SITO VERS??O FINAL-ABRAAO_20200313152343.pdf: 379419 bytes, checksum: 6f5535ddd81ded86d0ab46ce9407fa70 (MD5) Ata de Defesa - Abra??o.pdf: 896791 bytes, checksum: 11e8750ab6dbaa3f0f6ce0b009baa0c3 (MD5) Made available in DSpace on 2020-03-18T02:30:07Z (GMT). No. of bitstreams: 3 TeseAbra??o_vers??o final (1).pdf: 984399 bytes, checksum: a107e144bf80cf2a31be771f1e649de7 (MD5) AUTORIZA????O DEP??SITO VERS??O FINAL-ABRAAO_20200313152343.pdf: 379419 bytes, checksum: 6f5535ddd81ded86d0ab46ce9407fa70 (MD5) Ata de Defesa - Abra??o.pdf: 896791 bytes, checksum: 11e8750ab6dbaa3f0f6ce0b009baa0c3 (MD5) Previous issue date: 2020-02-28 FAPEAM - Funda????o de Amparo ?? Pesquisa do Estado do Amazonas CAPES - Coordena????o de Aperfei??oamento de Pessoal de N??vel Superior In this work, we prove generic properties of eigenvalues and eigenfunctions to two and to three parameters families of the elliptic operators in the divergence form on compact Riemannian manifolds with boundary. We assume the Dirichlet, T-Neumann and T-Robin boundary conditions. The main tools that we used were developed by K. Uhlenbeck in [Generic Properties of Eigenfunctions, Amer. J. Math. 98 (1976) 1059- 1078]. Neste trabalho, provamos propriedades gen??ricas de autovalores e autofun????es de fam??lias a dois e tr??s par??metros de operadores el??pticos na forma divergente em variedades Riemannianas compactas com bordo. Assumiremos as condi????es de fronteira de Dirichlet, T-Neumann e T-Robin. As principais ferramentas que utilizamos foram desenvolvidas por K. Uhlenbeck em [Generic Properties of Eigenfunctions, Amer. J. Math. 98 (1976) 1059-1078].
Databáze: OpenAIRE
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