Partial Differential Equations With Complex Analysis

Part 1 Elliptic and related equations: class "P" operators, the minimal surface equation and the Weierstrass representation, E. Kreyszig; Differentialtransformationen bei quasilinearen Gleichungen zweiter Ordnung, J. Pungel and H. Florian; on associated operators in the theory of Cauchy-Kovalevskaya problems, R. Heersink; on the representation of solutions to linear partial differential equations of mixed tupe, H-J. Fischer and E. Lanckau; reproducing kernels and uniqueness classes for the Cauchy problem in classes of generalized analytic functions, E.I. Obolashvili and M. Reissig; a simplified construction of generalized analytic functions in several complex variable, W. Tutschke; application of quaternionic analysis on generalized non-linear Stokes eigenvalue problem, W. Sprossig and K. Gurlebeck; residues in Clifford analysis, R. Delanghe, et al. Part 2 Complex analysis: parallel accessible domains and domains that are convex in some direction, W. Koepf; semi-dual functions and nonvanishing entire functions, K-J. Wirths; radial growth of subharmonic functions, D.J. Hallenbeck; polynomial expansions of analytic functions by function theoretic methods, P.A. McCoy. Part 3 Riemann-Hilbert boundary value problems: on the theory of the nonlinear Hilbert problem for holomorphic functions, L. von Wolfersdorf; on the Riemann-Hilbert boundary value problem for nonlinear elliptic equations in the plane, D-Q Dai; numerical method for the Riemann-Hilbert problem of nonlinear elliptic complex equations of first order, G.C. Wen and P-Q Li; the Riemann-Hilbert boundary value problems associated with linear and semilinear pseudoparabolic systems of two space variables, W. Lin and D-Q Dai; on nonlinear boundary value problems for a class of first order overdetermined elliptic system in a bicylinder, M.Z. Li; on the Moisil-Theodorescu system, A. Dzhuravev; Helmholtz equations and boundary value problems, Z. Xu.