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- W2080495528 abstract "Given is a nonlinear non-homogeneous polyanalytic differential equation of order $n$ in a simply-connected domain $D$ in the complex plane. Initially we prove (under certain conditions) the existence of its general solution in $W_{n,p}(D)$ by first transforming it into a system of integro-differential equations. Next we prove the solvability of a generalized Riemann-Hilbert problem for the differential equation. This is effected by first reducing the boundary value problem posed to a corresponding one for a polyanalytic function. The latter is then transformed into $n$ classical Riemann-Hilbert problems for holomorphic functions, whose solutions are known in the literature." @default.
- W2080495528 created "2016-06-24" @default.
- W2080495528 creator A5070024736 @default.
- W2080495528 date "1999-01-01" @default.
- W2080495528 modified "2023-10-16" @default.
- W2080495528 title "The Generalized Riemann-Hilbert Boundary Value Problem for Non-Homogeneous Polyanalytic Differential Equation of Order $n$ in the Sobolev Space $W_{n,p}(D)$" @default.
- W2080495528 doi "https://doi.org/10.4171/zaa/901" @default.
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