# DBAR problem

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The **DBAR 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^{[1]} and generalizes the Riemann–Hilbert problem.