Global solvability and global hypoellipticity of complex vector fields on surfaces

J Hounie, G Zugliani - Journal of Differential Equations, 2022 - Elsevier
We consider smooth, nonvanishing complex (not essentially real) vector fields L= X+ i Y that
satisfy the Nirenberg-Treves condition (P) and are allowed to possess some closed one …

Solvability near the characteristic set for a class of first‐order linear partial differential operators

WA Cerniauskas… - Mathematische …, 2018 - Wiley Online Library
In this work we deal with solvability of first‐order differential equations in the form, where L is
a planar complex vector field, elliptic everywhere except along a simple closed curve Σ on …

Solvability near the characteristic set for a special class of complex vector fields

PL Dattori da Silva, ER da Silva - Archiv der Mathematik, 2012 - Springer
This work deals with the solvability near the characteristic set Σ= 0× S 1 of operators of the
form L= ∂/∂ t+(x^ na (x)+ ix^ mb (x)) ∂/∂ x, b\not\equiv0 and a (0)≠ 0, defined on\Omega …

C k -solvability near the characteristic set for a class of elliptic vector fields with degeneracies

PL Dattori da Silva, J Marques, ER da Silva - Archiv der Mathematik, 2015 - Springer
This paper deals with the solvability near the characteristic set Σ={0\} * S^ 1 Σ= 0× S 1 of
operators of the form L= ∂/∂ t+(x^ na (x)+ ixb (x)) ∂/∂ x, b (0) ≠ 0\,\rm and\,\, n ≧ 2,\,\rm …

[PDF][PDF] Semiglobal solvability for a class of first order operators

WA Cerniauskas, PL Dattori da Silva… - Matemática …, 2022 - repositorio.usp.br
In this work, we deal with solvability near the characteristic set of equations in the form Lu=
pu+ f, where the operator L=∂ t+(xna (x)+ ixb (x))∂ x is defined on Ω= R× S1, a and b are …

A note about analytic solvability of complex planar vector fields with degeneracies

PLD da Silva - Canadian Mathematical Bulletin, 2011 - cambridge.org
A Note about Analytic Solvability of Complex Planar Vector Fields with Degeneracies Page 1
Canad. Math. Bull. Vol. 54 (2), 2011 pp. 249–254 doi:10.4153/CMB-2011-010-7 c©Canadian …

Resolubilidade perto do conjunto característico para uma classe de operadores diferenciais parciais de primeira ordem

WA Cerniauskas - 2014 - teses.usp.br
Seja L= â/â t+(a (x)+ ib (x)) â/â x, b ⢠0, um campo vetorial complexo definido em Aâ=(-â, â)
à S1, â> 0, sendo a, b â Câ ((-â, â); â) e (x, t) â (-â â) à S1. Assuma que b-1 (0)={0}. Este …

RESOLUBILIDADE Ck PERTO DO CONJUNTO CARACTERÍSTICO

WA CERNIAUSKAS - matematica.ufpr.br
RESOLUBILIDADE C PERTO DO CONJUNTO CARACTERÍSTICO Resumo Seja L = ∂/∂t +
(a(x) + ib(x))∂/∂x, b ≡ 0, um campo vetorial Page 1 X SIMPOSIO DE EQUAC OES …

Resolubilidade perto do conjunto característico para uma classe de campos vetoriais complexos

LS Hernandez - 2016 - teses.usp.br
Esta dissertação expõe sobre a resolubilidade do campo vetorial complexo L= â/â t+(a (x)+
ib (x)) â/â x, b ⢠0 definido em Ω ε=(-ε, ε) à S1, ε> 0, perto do conjunto característico …

[PDF][PDF] Dinâmica das soluçoes do sistema de Schrödinger-Debye em dimensoes crıticas

AJ Corcho - matematica.ufpr.br
Resumos dos Trabalhos Page 1 VIII SIMPÓSIO DE EQUAÇÕES DIFERENCIAIS da UFPR 25
a 27 de fevereiro de 2015 Resumos dos Trabalhos Realização: Departamento de Matemática …