Abstract
The oblique derivative problem for harmonic functions under violation of the Shapiro–Lopatinsky condition is considered as well as some multi-dimensional analogues of the Cauchy–Riemann system. These problems are reduced to nonelliptic pseudo-differential equations. A method generalizing the regularization of singular integral equations is also presented.
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Yanushauskas, A. Boundary-Value Problems for Second-Order Equations and for Systems of First-Order Equations. Acta Applicandae Mathematicae 46, 169–223 (1997). https://doi.org/10.1023/A:1005734114637
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DOI: https://doi.org/10.1023/A:1005734114637