Overview

An intensive development of the theory of generalized analytic functions started when methods of complex analysis were combined with methods of functional analysis, especially with the concept of distributional solutions to partial differential equations. The power of these interactions is far from being exhausted. In order to promote the further development of the theory of generalized analytic functions and applications of partial differential equations to mechanics, the Technical University of Graz organized a conference whose Proceedings are contained in the present volume. The contributions on generalized analytic functions (Part One) deal not only with problems in the complex plane (boundary value and initial value problems), but also related problems in higher dimensions are investigated where both several complex variables and the technique of Clifford analysis are used. Part Two of the work is devoted to applications to mechanics. It contains contributions to a variety of general methods such as L p-methods, boundary elements and asymptotic methods, and hemivariational inequalities. A substantial number of the papers of Part Two, however, deal with problems in ocean acoustics.

Full Product Details

Author:   Helmut Florian ,  Klaus Hackl ,  Franz Josef Schnitzer ,  Wolfgang Tutschke
Publisher:   Springer
Imprint:   Springer
Edition:   1998 ed.
Volume:   1
Dimensions:   Width: 15.50cm , Height: 2.00cm , Length: 23.50cm
Weight:   1.440kg
ISBN:  

9780792350439

ISBN 10:   079235043
Pages:   312
Publication Date:   31 May 1998
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Preface. Part I: Generalizations of Complex Analysis. 1. Generalized Analytic Functions; W. Tutschke. 2. Singular Integral Equations Approach; A. Dzhuraev. 3. Classes of Pseudo-Analytic Functions; P. Berglez. 4. Yugoslavian Contributions; M. Canak. 5. Reproducing Kernels; R.P. Gilbert. 6. Transmutations in Differential Rings; J. Püngel. 7. Initial Value Problems; A.O. Çelebi, U. Yüksel. 8. Associated Optimization Problems; W. Tutschke. 9. Optimization of the Set of Definition; S. Graubner. 10. Generalized Analytic Functions in Multidimensional Spaces; E. Obolashvili. 11. Overdetermined Systems; H. Begehr, A. Dzhuraev. 12. Boundary Behaviour; M. Balk, et al. 13. Applications to Differential Geometry; Z.D. Usmanov. 14. The Brothers Riesz Theorem; A. Cialdea. 15. On Exponential Series; A.Ju. Timofeev. Part II: Applications to Mechanics. 16. Boundary-Finite Element Method; G.C. Hsiao, M.D. Marcozzi. 17. Nonlinear Elastostatics; K. Taira. 18. Hemivariational Inequalities; Z. Naniewicz, P.D. Panagiotopoulos. 19. Underwater Acoustics; R.P. Gilbert, Z.J. Lin. 20. Asymptotic Methods; K. Hackl. 21. Comparison with Residue Calculus; J.L. Buchanan, R.P. Gilbert. 22. Stratified Media; Y. Xu. 23. Parabolic Conversation Laws; A. Jeffrey. 24. Hele-Shaw Flows; M. Reissig, F.Hübner. 25. Generalized Analytic Functions in Mechanics; E. Obolashvili. 26. Schrödinger Equation; R. Carroll.

Reviews

Author Information

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions