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The Global ETD Search service is a free service for researchers
to find electronic theses and dissertations. This service is
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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.
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[en] DEEP MORIN SINGULARITIES OF THE MCKEAN-SCOVEL OPERATOR / [pt] SINGULARIDADES DE MORIN PROFUNDAS DO OPERADOR MCKEAN-SCOVELLUIS 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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