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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
1

[en] DEEP MORIN SINGULARITIES OF THE MCKEAN-SCOVEL OPERATOR / [pt] SINGULARIDADES DE MORIN PROFUNDAS DO OPERADOR MCKEAN-SCOVEL

LUIS ANTONIO GOMEZ ARDILA 04 November 2021 (has links)
[pt] O operador de McKean-Scovel agindo sobre funções que satisfazem condições de Dirichlet é o operador não-linear de Sturm-Liouville mais simples: a não-linearidade é elevar ao quadrado. Nesse texto, demonstra-se uma conjetura que de mais de trinta anos: seu conjunto crítico só contém singularidades de Morin, que podem ter profundidade arbitrária. / [en] The McKean-Scovel operator is the simplest nonlinear Sturm-Liouville operator acting on functions satisfying Dirichlet boundary conditions: its nonlinearity is just taking the square of the incoming function. This text contains a proof of a conjecture from the late 80: its critical set consists only of Morin singularities, which attain arbitrary depth.

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