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math.AP2024
Global solvability for a class of pseudodifferential operators on the torus
Igor A. Ferra
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 charact…
math.AP2024
Propagation of regularity for a class of systems of real vector fields on torus
Igor Ambo Ferra, Luís Antônio Carvalho dos Santos
We characterize the global hypoellipticity, almost hypoellipticity and solvability for a class of systems of real vector fields on the (n + 1)-dimensional torus as well as the same…