DBAR problem
Jump to navigation
Jump to search
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.