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The DBAR problem, or the -problem, is the problem of solving the differential equation for the function , where is assumed to be known and is a complex number in a domain . The operator is called the DBAR operator The DBAR operator is nothing other than the complex conjugate of the operator denoting the usual differentiation in the complex -plane. The DBAR problem is of key importance in the theory of integrable systems and generalizes the Riemann–Hilbert problem.
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