Elliptic Systems in the Plane |
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Normal Forms of General FirstOrder Systems | 75 |
The General Regular Elliptic Boundary Value Problem | 109 |
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approximation Berlin Bojarski boundary conditions boundary value problems Cauchy coefficients compact complex conformal mapping continuous convergence corresponding defined denote difference equations Dirichlet problem discrete domain Douglis eigenvalues elliptic equations elliptic systems error estimates exists a constant finite element Fredholm Fredholm integral equations Fredholm operator G₁ Galerkin Galerkin method Gilbert Hence Hölder Hölder continuous holds holomorphic function homeomorphism homogeneous hyperanalytic functions hypercomplex implies independent of h inequality kernels Lemma let us consider linear log h Lopatinski condition Math matrix method Neumann functions Neumann problem nonlinear norm normal form numerical operator P₁ partial differential equations plane polynomials priori estimate Proof properties right hand side satisfies Section semilinear singular integral equations solvability solving Springer suitable theory tions unique vector Vekua w₁ w₂ Wendland yields zero