FUNCTIONAL ANALYTIC METHODS IN COMPLEX ANALYSIS AND APPLICATIONS TO PARTIAL DIFFERENTIAL EQUATIONS

Boundary value problems of the theory of generalized analytic vectors, G.F. Manjavidze; solution of the Riemann boundary value problem with piecewise smooth boundary data for complex elliptic partial difference equations, A.S.A. Mshimba; elliptic second order equations, H. Begehr; two boundary value problems for nonlinear parabolic systems of second order equations with measurable coefficients, G.-C. Wen; on the abstract Cauchy-Kowalewski theorem, K. Asano; theorems of Cauchy-Kovalevsky and Holmgren type for abstract evolution equations in scales of locally convex spaces, M. Reissig; solution of initial value problems in associated spaces, R. Heersink and W. Tutschke; averaged evolution equations - the Kirchhoff string and its treatment in scales of Banach spaces, A. Arosio; propagation of real analyticity for weakly hyperbolic equations, S. Spagnolo; Schwarz-Christoffel mappings - symbolic computation of mapping functions for symmetric polygonal domains, W. Koepf; solving elliptic partial differential equations with MACSYMA, R.P. Gilbert and A. Wood; unification of global and local existence theorems for holomorphic functions of several complex variables, G. Fichera; the simple and the multiple-layer potential approach in n-dimensional problems, A. Cialdea; some remarks on generalizations of the one-dimensional complex analysis - hyper complex approach, M. Shapiro; an elementary approach to Clifford analysis, W. Tutschke; and other papers.