Complex Methods for Partial Differential Equations

Author:   Heinrich Begehr ,  A. Okay Celebi ,  W. Tutschke
Publisher:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 1999
Volume:   6
ISBN:  

9781461332930


Pages:   334
Publication Date:   08 December 2011
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Complex Methods for Partial Differential Equations


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Overview

This volume is a collection of manscripts mainly originating from talks and lectures given at the Workshop on Recent Trends in Complex Methods for Par­ tial Differential Equations held from July 6 to 10, 1998 at the Middle East Technical University in Ankara, Turkey, sponsored by The Scientific and Tech­ nical Research Council of Turkey and the Middle East Technical University. This workshop is a continuation oftwo workshops from 1988 and 1993 at the In­ ternational Centre for Theoretical Physics in Trieste, Italy entitled Functional analytic Methods in Complex Analysis and Applications to Partial Differential Equations. Since classical complex analysis of one and several variables has a long tra­ dition it is of high level. But most of its basic problems are solved nowadays so that within the last few decades it has lost more and more attention. The area of complex and functional analytic methods in partial differential equations, however, is still a growing and flourishing field, in particular as these methods are not only applied. Whithin the framework of holomorphic functions but are also combined with properties of generalized analytic functions. This can be seen by the many books which recently were published in this field and also by the proceedings in this ISAAC series and the ISAAC congresses and workshops.

Full Product Details

Author:   Heinrich Begehr ,  A. Okay Celebi ,  W. Tutschke
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 1999
Volume:   6
Dimensions:   Width: 16.00cm , Height: 1.80cm , Length: 24.00cm
Weight:   0.557kg
ISBN:  

9781461332930


ISBN 10:   1461332931
Pages:   334
Publication Date:   08 December 2011
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

1 A reflection principle and its applications.- 2 On some problems for first order elliptic systems in the plane.- 3 Differential-operator solutions for complex partial differential equations.- 4 On a generalized Riemann-Hilbert boundary value problem for second order elliptic systems in the plane.- 5 Boundary value problems of the theory of generalized analytic functions.- 6 On well-posedness of problems for nonclassical systems of equations.- 7 An application of the periodic Riemann boundary value problem to a periodic crack problem.- 8 Initial and boundary value problems for singular differential equations and applications to the theory of cusped bars and plates.- 9 Multidimensional logarithmic residues and their applications.- 10 The Neumann problem for the inhomogeneous pluriharmonic system in polydiscs.- 11 Second order Cauchy-Pompeiu representations.- 12 On a class of second order elliptic overdetermined systems.- 13 Boundary spinors and values of holomorphic functions.- 14 Two approaches to non-commutative geometry.- 15 Some partial differential equations in Clifford analysis.- 16 Generalized monogenic functions satisfying differential equations with anti-monogenic right-hand sides.- 17 Complex analytic method for hyperbolic equations of second order.- 18 Remarks on the solvability of Dirichlet problems in different function spaces.- 19 Complex methods in the theory of initial value problems.- 20 Optimal balls for solving fixed-point problems in Banach spaces.- 21 Wavelet transform of operators and functional calculus.

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