Results 51 to 60 of about 154 (95)
Concatenations applied to analytic hypoellipticity of operators with double characteristics
, 1984 We use the method of concatenations to get a sufficient condition for a class of analytic pseudodifferential operators with double characteristics to be analytic hypoelliptic.
Kil Hyun Kwon
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Analytic regularity for structures of corank one
, 2014 Neste trabalho consideramos sistemas de equações diferenciais parciais lineares de primeira ordem, com coeficientes analíticos, definidos em variedades analíticas reais, no caso particular em que seu coposto é igual a um.
Érik Fernando de Amorim +1 more
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Analytic hypoellipticity for sums of squares and the Treves conjecture
, 2018 We are concerned with the problem of real analytic regularity of the solutions of sums of squares with real analytic coefficients. Treves conjecture states that an operator of this type is analytic hypoelliptic if and only if all the strata in the ...
Albano, Paolo +5 more
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Analytic hypoellipticity for sums of squares and the Treves conjecture, II
, 2017 We are concerned with the problem of real analytic regularity of the solutions of sums of squares with real analytic coefficients. The Treves conjecture defines a stratification and states that an operator of this type is analytic hypoelliptic if and ...
BOVE, ANTONIO +3 more
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On the Gevrey regularity for sums of squares of vector fields, study of some models
, 2018 The Gevrey hypoellipticity of a class of "sums of squares" with real analytic coefficients is studied in detail. (C) 2018 Elsevier Inc.
Gregorio Chinni
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, 2007 We consider non-linear operators constructed from rigid vector fields. In particular, we study (global) Gevrey and analytic regularity on the torus; this is particularly interesting since even in the linear case we have a different behaviour on the torus
BOITI, Chiara
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Extendability of proper holomorphic mappings and global analytic hypoellipticity of the partial differential-Neumann problem. [PDF]
Proc Natl Acad Sci U S A, 1981 Bell SR.
europepmc +1 more source
Hypoellipticity: Geometrization And Speculation
, 1998 . To any finite collection of smooth real vector fields X j in R n we associate a metric in the phase space T R n . The relation between the asymptotic behavior of this metric and hypoellipticity of P X 2 j , in the smooth, real analytic, and ...
Michael Christ
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On a class of globally analytic hypoelliptic operators with non-negative characteristic form
The global analytic hypoellipticity is proved for a class of second order partial differential equations with non-negative characteristic form globally defined on the torus. The class considered in this work generalizes at some degree the class of sum of
Braun Rodrigues, N., Chinni, G.
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Local analytic hypoellipticity for square(b) on nondegenerate Cauchy-Riemann manifolds. [PDF]
Proc Natl Acad Sci U S A, 1978 Tartakoff DS.
europepmc +1 more source