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arXiv · 2408.01183

Global solvability for a class of pseudodifferential operators on the torus

Igor A. Ferra
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Abstract

We give a complete characterization for the global solvability of a pseudodifferential operator P=D_t + c(t,D_x) on the (N+1)-dimensional torus T^{N+1} = S^1_t x T^N_x. 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,D_x).

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Igor A. Ferra. 2024-08-02. Global solvability for a class of pseudodifferential operators on the torus. https://arxiv.org/abs/2408.01183

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