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Solvability of a first order differential operator on the two-torus. (English) Zbl 1302.35106
Summary: Global solvability on the two-torus of a first order differential operator with complex coefficients is investigated. Diophantine properties of the coefficients are linked to the solvability.
MSC:
35F05 Linear first-order PDEs
35A01 Existence problems for PDEs: global existence, local existence, non-existence
35B10 Periodic solutions to PDEs
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