Partial differential equations with complex analysis /
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| Imprint: | Essex, England : Longman Scientific & Technical ; New York : Copublished in the United States with J. Wiley, 1992. |
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| Description: | 214 p. : port. ; 25 cm. |
| Language: | English |
| Series: | Pitman research notes in mathematical series, 0269-3674 ; 262 Pitman research notes in mathematics series 262 |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/1406779 |
Table of Contents:
- Biography of Robert Pertsch Gilbert
- 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 type / 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 variables / W. Tutschke. Application of quaternionic analysis on generalized non-linear Stokes eigenvalue problem / W. Sprossig and K. Gurlebeck. Residues in Clifford analysis / R. Delanghe, F. Sommen and Y. Soucek
- 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
- 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. Dzhuraev. Helmholtz equations and boundary value problems / Z. Xu.
