Globally solvable complexes of pseudo-differential operators on the torus

2024/07/03 by Fernando de Ávila Silva, Silva, Fernando de Ávila, Cléber de Medeira +1 · 1 citation
Mathematics · Physics and Astronomy · #advanced mathematical theories #Spectral Theory in Mathematical Physics #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2407.03269

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.

Cited by

• Differential complexes in time-periodic Gelfand-Shilov spaces

Related

• Global solvability for a class of pseudodifferential operators on the torus
• Global hypoellipticity for a class of overdetermined systems of pseudo-differential operators on the torus
• Boundedness of pseudo-differential operators on the torus revisited. II
• Global Hypoellipticity and Solvability with Loss of Derivatives on the Torus
• Global solutions for systems of strongly invariant operators on closed manifolds