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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

Continuidade de atratores para uma família de equações parabólicas em domínios perturbados com condição de fronteira de Neumann

Lopes, Wesley Ferreira 26 April 2011 (has links)
Dissertação (mestrado)—Universidade de Brasília, Instituto de Ciências Exatas, Departamento de Matemática, 2011. / Submitted by Max Lee da Silva (bruce1415@hotmail.com) on 2011-06-28T14:12:42Z No. of bitstreams: 1 2011_WesleyFerreiraLopes.pdf: 365403 bytes, checksum: 9327932f47211edd41e584221a505cd9 (MD5) / Approved for entry into archive by Guilherme Lourenço Machado(gui.admin@gmail.com) on 2011-06-30T15:46:59Z (GMT) No. of bitstreams: 1 2011_WesleyFerreiraLopes.pdf: 365403 bytes, checksum: 9327932f47211edd41e584221a505cd9 (MD5) / Made available in DSpace on 2011-06-30T15:46:59Z (GMT). No. of bitstreams: 1 2011_WesleyFerreiraLopes.pdf: 365403 bytes, checksum: 9327932f47211edd41e584221a505cd9 (MD5) / Neste trabalho estudamos a continuidade dos atratores para problemas parabólicos semilineares com condição de fronteira de Neumann. Veremos que se as perturbações nos domínios são tais que a convergência dos autovalores e autofunções do laplaciano com condição de fronteira de Neumann é garantida, teremos a semicontinuidade superior dos atratores. Além disso, se todo ponto de equilíbrio for hiperbólico, teremos a continuidade dos atratores. _________________________________________________________________________________ ABSTRACT / In this work we study the continuity of attractors for semilinear parabolic problems with Neumann boundary condition. We will see that if the perturbations on the domain are such that the convergence of eigenvalues and eigenfunctions of the Neumann Laplacian is granted, we have the upper semicontinuity of the attractors. Moreover, if every equilibrium point is hyperbolic, we have the continuity of the attractors.

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