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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 ...
Solvability near the characteristic set for a special class of complex vector fields
(BIRKHAUSER VERLAG AGBASEL, 2012)
This work deals with the solvability near the characteristic set Sigma = {0} x S-1 of operators of the form L = partial derivative/partial derivative t+(x(n) a(x)+ ix(m) b(x))partial derivative/partial derivative x, b not ...
C(k)-solvability near the characteristic set for a class of planar complex vector fields of infinite type
(SPRINGER HEIDELBERG, 2010)
This paper deals with semi-global C(k)-solvability of complex vector fields of the form L = partial derivative/partial derivative t + x(r) (a(x) + ib(x))partial derivative/partial derivative x, r >= 1, defined on Omega(epsilon) ...