DBAR problem
Appearance
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[1] and generalizes the Riemann–Hilbert problem.
References
- ^ Konopelchenko, B. G. (2000). "On dbar-problem and integrable equations". arXiv:nlin/0002049.