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Master's Dissertation
DOI
https://doi.org/10.11606/D.45.1994.tde-20220712-114636
Document
Author
Full name
Rosangela Toledo Kulcsar
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 1994
Supervisor
Title in Portuguese
Resolubilidade local para operadores (pseudo)-diferenciais de tipo principal com coeficientes reais
Keywords in Portuguese
Equações Diferenciais Parciais Não Lineares
Operadores
Abstract in Portuguese
Em nosso trabalho daremos algumas condicoes suficientes para que certas classes de operadores diferenciais parciais lineares (e mesmo pseudo-diferenciais) sejam resoluveis. Comecaremos com os operadores diferenciais parciais lineares com coeficientes constantes, dando condicoes para a sua resolubilidade global. Como consequencia, obteremos uma prova do teorema de malgrange-ehrenpreis. Depois, mostraremos que os operadores diferenciais parciais lineares de tipo principal com parte principal real sao localmente resoluveis. Por ultimo, em analogia com o caso anterior, mostraremos que os operadores pseudo-diferenciais de tipo principal com parte principal real e homogenea tambem sao resoluveis
Title in English
not available
Abstract in English
not available
 
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Publishing Date
2022-07-13
 
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