July 3, 2024Open Access

Globally solvable complexes of pseudo-differential operators on the torus

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Abstract

We consider a complex of pseudo-differential operators associated with an overdetermined system of operators defined on the torus. We characterize the global solvability of this complex when the system has constant coefficients. Furthermore, we establish some connections between the global solvability of the complex and the global solvability of its normal form.

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Silva et al. (Wed,) studied this question.

synapsesocial.com/papers/68e6191db6db6435875abeb0 https://doi.org/https://doi.org/10.48550/arxiv.2407.03269

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