Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4620485 | Journal of Mathematical Analysis and Applications | 2009 | 13 Pages |
Abstract
The goal of this paper is study the global solvability of a class of complex vector fields of the special form L=∂/∂t+(a+ib)(x)∂/∂x, a,b∈C∞(S1;R), defined on two-torus T2≅R2/2πZ2. The kernel of transpose operator is described and the solvability near the characteristic set is also studied.
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