
doi: 10.4171/zaa/224
A priori estimates for the general complex Beltrami equation in connection with Riemann–Hilbert boundary conditions are developed, which can be used for existence as well as uniqueness statements for related nonlinear problems. For this reason the equation together with the boundary conditions are transformed into the canonical form and essentially a representation formula originally given by Haack-Wendland is used.
representation, Beltrami equation, existence, Riemann-Hilbert problems in context of PDEs, A priori estimates, Riemann-Hilbert boundary value problem, uniqueness, A priori estimates in context of PDEs, Green and Neumann functions
representation, Beltrami equation, existence, Riemann-Hilbert problems in context of PDEs, A priori estimates, Riemann-Hilbert boundary value problem, uniqueness, A priori estimates in context of PDEs, Green and Neumann functions
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