A decomposition technique yields unique solvability for the Dbar equation in the AKNS system together with Lipschitz continuity of the potential map from the data.
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Well-posedness for the $\bar\partial$-problem relevant to the AKNS spectral problem
A decomposition technique yields unique solvability for the Dbar equation in the AKNS system together with Lipschitz continuity of the potential map from the data.