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Regularidade global Gevrey das soluções de certas classes de operadores parciais lineares de primeira ordem.
(Universidade Federal de São CarlosBRUFSCarPrograma de Pós-Graduação em Matemática - PPGM, 2004-01-01)
In this work we study global Gevrey hypoellipticity on the Euclidean 2-space R² for a class of first order linear partial differential operators with coeffcients in Cw2χ (R). Necessary and suffcient conditions for ...
GEVREY SOLVABILITY AND GEVREY REGULARITY IN DIFFERENTIAL COMPLEXES ASSOCIATED TO LOCALLY INTEGRABLE STRUCTURES
(AMER MATHEMATICAL SOC, 2011)
In this work we study some properties of the differential complex associated to a locally integrable (involutive) structure acting on forms with Gevrey coefficients. Among other results we prove that, for such complexes, ...
Hipoelipticidade global analítica e Gevrey de sublaplacianos sob condições Diofantinas
(Universidade Federal de São CarlosUFSCarPrograma de Pós-Graduação em Matemática - PPGMCâmpus São Carlos, 2022-09-22)
In this dissertation we consider the problem of global Gevrey regularity for a class of partial differential
operators in the form of a sum of squares of vector fields and we show that these operators are
globally Gevrey ...
Gevrey solvability near the characteristic set for a class of planar complex vector fields of infinite type
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2009)
We study the Gevrey solvability of a class of complex vector fields, defined on Omega(epsilon) = (-epsilon, epsilon) x S(1), given by L = partial derivative/partial derivative t + (a(x) + ib(x))partial derivative/partial ...
Boa postura analítica e Gevrey da “boa” equação de Boussinesq
(Universidade Federal de São CarlosUFSCarPrograma de Pós-Graduação em Matemática - PPGMCâmpus São Carlos, 2021-03-11)
In both the line and the circle, we shall to prove that the Cauchy problem for the ``good'' Boussinesq equation is locally well-posed in a class of Gevrey functions, which includes a class of analytic functions that can ...
Boa postura para alguns sistemas de equações dispersivas e para uma equação dispersiva
(Universidade Federal de São CarlosUFSCarPrograma de Pós-Graduação em Matemática - PPGMCâmpus São Carlos, 2020-10-30)
The main aim of this work is to establish the well posedness for a dispersive partial differential equations systems and for a partial differential equation, with initial data belonging to Gevrey space.
The proof ...
Gevrey Regularity For Integro-differential Operators
(ACADEMIC PRESS INC ELSEVIER SCIENCESAN DIEGO, 2015)
Hipoelipticidade global para sublaplacianos, perturbações de ordem inferior, resolubilidade e hipoelipticidade global para uma classe de campos vetoriais
(Universidade Federal de São CarlosUFSCarPrograma de Pós-Graduação em Matemática - PPGMCâmpus São Carlos, 2018-03-16)
We start this work by recalling a class of globally hypoelliptic sublaplacians defined on the N-dimensional torus introduced by Cordaro and Himonas in 1994 and studied by Himonas and Petronilho in 2000. We consider a new ...
Análise microlocal nas classes de Denjoy-Carleman
(Universidade Federal de São CarlosUFSCarPrograma de Pós-Graduação em Matemática - PPGMCâmpus São Carlos, 2016-03-07)
Using a more general class of FBI transforms, introduced by S. Berhanu and J. Hounie in [16], we completely characterize regularity and microregularity in Denjoy-Carleman (non quasi analytic) classes, which includes the ...