The DBAR problem, or the -problem, is the problem of solving the differential equation
The DBAR operator is nothing other than the complex conjugate of the operator
The DBAR problem is of key importance in the theory of integrable systems, Schrödinger operators and generalizes the Riemann–Hilbert problem.[1][2][3]
Citations
References
- Ablowitz, Mark J.; Fokas, A. S. (2003). Complex Variables: Introduction and Applications. Cambridge University Press. pp. 516, 598–626. ISBN 978-0-521-53429-1.
- Haslinger, Friedrich (2014). The d-bar Neumann Problem and Schrödinger Operators. Walter de Gruyter GmbH & Co KG. ISBN 978-3-11-031535-6.[1]
- Konopelchenko, B. G. (2000). "On dbar-problem and integrable equations". arXiv:nlin/0002049.