A necessary and sufficient condition is given for a sum of squares operator to be globally hypoelliptic. This condition is expressed in terms of Diophatine approximation properties of the coefficients. The proof of the Theorem is based on L2− estimates.Financiadora de Estudos e ProjetosUma condição necessária e suficiente é dada para que um operador soma de quadrados seja globalmente hipoelítico. Esta condição é expressa em termos de propriedades de aproximações Diofantinas dos coeficientes. A prova do teorema é baseada em estimativas L2
In this work we study C (a)-hypoellipticity in spaces of ultradistributions for analytic linear part...
We start this work by recalling a class of globally hypoelliptic sublaplacians defined on the N-dime...
In this work we discuss the problem of smooth and analytic regularity for hyperfunction solutions to...
Uma condição necessária e suficiente é dada para que um operador soma de quadrados seja globalmente ...
AbstractA necessary and sufficient condition is given for a sum of squares operator to be globally h...
We consider sums of squares operators globally defined on the torus. We show that if some assumption...
Neste trabalho, veremos que se o operador transposto de um campo vetorial real suave L definido no t...
AbstractIn this paper we present a necessary and sufficient condition for a family of sums of square...
We prove a couple of results concerning pseudodifferential perturbations of differential operators b...
The global and semi-global analytic hypoellipticity on the torus is proved for two classes of sums o...
We sketch a proof of a Hörmander theorem applicable to sum of squares operators with degeneracies of...
Orientador: Prof. Dr. Alexandre KirilovDissertação (mestrado) - Universidade Federal do Paraná, Seto...
The main aim of this work is to study a class of real vector elds de ned on a torus, where the conc...
Abstract In this paper we are concerned with a family of elliptic operators rep-resented as sum of s...
We study the (micro)hypoanalyticity and the Gevrey hypoellipticity of sums of squares of vector fiel...
In this work we study C (a)-hypoellipticity in spaces of ultradistributions for analytic linear part...
We start this work by recalling a class of globally hypoelliptic sublaplacians defined on the N-dime...
In this work we discuss the problem of smooth and analytic regularity for hyperfunction solutions to...
Uma condição necessária e suficiente é dada para que um operador soma de quadrados seja globalmente ...
AbstractA necessary and sufficient condition is given for a sum of squares operator to be globally h...
We consider sums of squares operators globally defined on the torus. We show that if some assumption...
Neste trabalho, veremos que se o operador transposto de um campo vetorial real suave L definido no t...
AbstractIn this paper we present a necessary and sufficient condition for a family of sums of square...
We prove a couple of results concerning pseudodifferential perturbations of differential operators b...
The global and semi-global analytic hypoellipticity on the torus is proved for two classes of sums o...
We sketch a proof of a Hörmander theorem applicable to sum of squares operators with degeneracies of...
Orientador: Prof. Dr. Alexandre KirilovDissertação (mestrado) - Universidade Federal do Paraná, Seto...
The main aim of this work is to study a class of real vector elds de ned on a torus, where the conc...
Abstract In this paper we are concerned with a family of elliptic operators rep-resented as sum of s...
We study the (micro)hypoanalyticity and the Gevrey hypoellipticity of sums of squares of vector fiel...
In this work we study C (a)-hypoellipticity in spaces of ultradistributions for analytic linear part...
We start this work by recalling a class of globally hypoelliptic sublaplacians defined on the N-dime...
In this work we discuss the problem of smooth and analytic regularity for hyperfunction solutions to...