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General information on second order elliptic equations and boundary value problems
Fundamental aspects of the theory of linear equations in normed linear spaces
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adjoint Akad arbitrary function assume belongs to class Bitsadze boundary condition boundary value problem Cauchy principal value coefficients denote differential equations directional derivative problem Dirichlet problem disk domain D+ elliptic equations elliptic systems equalities equation 2.1 exists Fredholm integral equation Fredholmian function of class function u(x Green's formula harmonic functions Holder condition holomorphic functions holomorphic in domain homogeneous equation inequality kernel limiting values linear linearly independent solutions matrix moreover necessary and sufficient Noetherian non-homogeneous normally solvable obtain point x0 principal elementary solution problem 2.1 regular harmonic regular in domain regular solution represented by formula Riemann-Hilbert problem right hand side satisfy condition satisfying the boundary satisfying the conditions second kind simply connected simply connected domain singular integral equations solution of equation solution of problem solution of system solution u(x solvability of problem space system of singular tion uniformly elliptic vanishing at infinity