Partial differential equations with complex analysis
著者
書誌事項
Partial differential equations with complex analysis
（Pitman research notes in mathematics series, 262）
Longman Scientific & Technical, 1992
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注記
One article in German
Includes bibliographical references
内容説明・目次
内容説明
A collection of papers on function theory and function-theoretic methods in PDEs. Results are obtained using a variety of complex analytic methods e.g. Bergman and Vekua, geometric function theory and the Riemann-Hilbert boundary value problem.
目次
- 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.
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