Canad. Math. Bull. 54(2011), 249-254
Printed: Jun 2011
This paper deals with the analytic solvability of a special class of
complex vector fields defined on the real plane, where they are
a closed real curve, while off the real curve, they are elliptic.
semi-global solvability, analytic solvability, normalization, complex vector fields, condition~($\mathcal P$)
35A01 - Existence problems: global existence, local existence, non-existence
58Jxx - Partial differential equations on manifolds; differential operators [See also 32Wxx, 35-XX, 53Cxx]