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math.DS2023
Solving the cohomological equation for locally hamiltonian flows, part II -- global obstructions
Krzysztof Frączek, Minsung Kim
Continuing the research initiated in \cite{Fr-Ki2}, we study the existence of solutions and their regularity for the cohomological equations for locally Hamiltonian flows (…
math.DS2023
Solving the cohomological equation for locally hamiltonian flows, part I -- local obstructions
Krzysztof Frączek, Minsung Kim
We study the cohomological equation for smooth locally Hamiltonian flows on compact surfaces. The main novelty of the proposed approach is that it is used to study the regul…