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math.AP2014
Weak solutions of the cohomological equation on R^2 for regular vector fields
Roberto De Leo
In a recent article, we studied the global solvability of the so-called cohomological equation L_X f=g in C^\infty(\Rt), where X is a regular vector field on the plane and L_X the…
math.AP2010
Global Solvability in Functional Spaces for Smooth Nonsingular Vector Fields in the Plane
Roberto De Leo, Todor Gramchev, Alexandre Kirilov
We address some global solvability issues for classes of smooth nonsingular vector fields in the plane related to cohomological equations in geometry and dynamical syste…