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On an Analogue of the Riemann-Hilbert Problem for a Non-linear Perturbation of the Cauchy-Riemann Operator
2016
Journal of Siberian Federal University Mathematics & Physics
Preserved Fulltext
We consider a non-linear perturbation of a famous Riemann-Hilbert problem on the recovering of a holomorphic function in a domain via its real part on the boundary. We get an information on the local structure of the solutions and give sufficient conditions for their real analyticity. A simple instructive example is considered.
doi:10.17516/1997-1397-2016-9-4-427-431
fatcat:ofifxgzokfdmvlv76par5sinku