Global solvability for a class of pseudodifferential operators on the torus
Abstract
We give a complete characterization for the global solvability of a pseudodifferential operator P=Dt + c(t,Dx) on the (N+1)-dimensional torus TN+1 = S1t x TNx. Our characterization is given in terms of diophantine conditions and a notion of super-logarithmic oscilation of the symbol of the imaginary part of c(t,Dx).
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