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- W134909969 abstract "At first, we transform boundary value problems for elliptic differential equations with two independent variables into a Riemann-Hilbert boundary value problem in Section 1. The latter can be solved by the integral equation method due to I. N. Vekua in Section 2 and Section 3. Then, we derive potential-theoretic estimates for the solution of Poisson’s equation in Section 4. For use in Chapter 12 we prove corresponding inequalities for solutions of the inhomogeneous Cauchy-Riemann equation. For elliptic differential equations in n variables we solve the Dirichlet problem by the continuity method in the classical function space (C^{2+alpha}(overline{Omega})); see Section 5 and Section 6. The necessary Schauder estimates are completely derived in the last paragraph." @default.
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- W134909969 date "2012-01-01" @default.
- W134909969 modified "2023-09-23" @default.
- W134909969 title "Linear Elliptic Differential Equations" @default.
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- W134909969 doi "https://doi.org/10.1007/978-1-4471-2984-4_3" @default.
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