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Riemann–Hilbert problem for a class of hypocomplex vector fields Page 1 COMPLEX
VARIABLES AND ELLIPTIC EQUATIONS, 2017 VOL. 62, NO. 10, 1413–1424 https://doi.org/10.1080/17476933.2016.1197917 …

For a real analytic complex vector field $ L $ in an open set of $\mathbb {R}^ 2$, with local
first integrals that are open maps, we attach a number $\mu\ge 1$(obtained through …

For a real analytic complex vector field $ L $, in an open set of $\mathbb {R}^ 2$, with local
first integrals that are open maps, we attach a number $\mu\ge 1$(obtained through …

This paper deals with the solvability of planar vector fields\displaystyle L= A ∂ _x+ B ∂ _y,
with A and B complex-valued function in a domain Ω ⊂ R^ 2. We assume that L has a first …

For a given vector field L with complex coefficients in a region of Rn, the most basic question
of PDE is to know whether the equation Lu= f has solutions and if so the properties of such …