Complex Analytic Methods for Partial Differential Equations

Complex Analytic Methods for Partial Differential Equations
Author: Heinrich G. W. Begehr
Publisher: World Scientific
Total Pages: 288
Release: 1994
Genre: Mathematics
ISBN: 9789810215507

This is an introductory text for beginners who have a basic knowledge of complex analysis, functional analysis and partial differential equations. Riemann and Riemann-Hilbert boundary value problems are discussed for analytic functions, for inhomogeneous Cauchy-Riemann systems as well as for generalized Beltrami systems. Related problems such as the Poincar‚ problem, pseudoparabolic systems and complex elliptic second order equations are also considered. Estimates for solutions to linear equations existence and uniqueness results are thus available for related nonlinear problems; the method is explained by constructing entire solutions to nonlinear Beltrami equations. Often problems are discussed just for the unit disc but more general domains, even of multiply connectivity, are involved.

Complex Analysis

Complex Analysis
Author: Peter Ebenfelt
Publisher: Springer Science & Business Media
Total Pages: 353
Release: 2011-01-30
Genre: Mathematics
ISBN: 3034600097

This volume presents the proceedings of a conference on Several Complex Variables, PDE’s, Geometry, and their interactions held in 2008 at the University of Fribourg, Switzerland, in honor of Linda Rothschild.

Author:
Publisher: World Scientific
Total Pages: 820
Release:
Genre:
ISBN:

Topics in Analysis and its Applications

Topics in Analysis and its Applications
Author: Grigor A. Barsegian
Publisher: Springer Science & Business Media
Total Pages: 468
Release: 2006-02-05
Genre: Mathematics
ISBN: 1402021283

Most topics dealt with here deal with complex analysis of both one and several complex variables. Several contributions come from elasticity theory. Areas covered include the theory of p-adic analysis, mappings of bounded mean oscillations, quasiconformal mappings of Klein surfaces, complex dynamics of inverse functions of rational or transcendental entire functions, the nonlinear Riemann-Hilbert problem for analytic functions with nonsmooth target manifolds, the Carleman-Bers-Vekua system, the logarithmic derivative of meromorphic functions, G-lines, computing the number of points in an arbitrary finite semi-algebraic subset, linear differential operators, explicit solution of first and second order systems in bounded domains degenerating at the boundary, the Cauchy-Pompeiu representation in L2 space, strongly singular operators of Calderon-Zygmund type, quadrature solutions to initial and boundary-value problems, the Dirichlet problem, operator theory, tomography, elastic displacements and stresses, quantum chaos, and periodic wavelets.

Selected Topics in Complex Analysis

Selected Topics in Complex Analysis
Author: Vladimir Ya. Eiderman
Publisher: Springer Science & Business Media
Total Pages: 240
Release: 2005-04-20
Genre: Mathematics
ISBN: 9783764372514

This volume opens with a paper by V.P. Havin that presents a comprehensive survey of the work of mathematician S.Ya. Khavinson. It includes a complete bibliography, previously unpublished, of 163 items, and twelve peer-reviewed research and expository papers by leading mathematicians, including the joint paper by Khavinson and T.S. Kuzina. The emphasis is on the usage of tools from functional analysis, potential theory, algebra, and topology.

Clifford Algebras and Spinors

Clifford Algebras and Spinors
Author: Pertti Lounesto
Publisher: Cambridge University Press
Total Pages: 352
Release: 2001-05-03
Genre: Mathematics
ISBN: 0521005515

This is the second edition of a popular work offering a unique introduction to Clifford algebras and spinors. The beginning chapters could be read by undergraduates; vectors, complex numbers and quaternions are introduced with an eye on Clifford algebras. The next chapters will also interest physicists, and include treatments of the quantum mechanics of the electron, electromagnetism and special relativity with a flavour of Clifford algebras. This edition has three new chapters, including material on conformal invariance and a history of Clifford algebras.

Progress in Analysis

Progress in Analysis
Author: Heinrich G. W. Begehr
Publisher: World Scientific
Total Pages: 1557
Release: 2003
Genre: Mathematics
ISBN: 981238572X

The biannual ISAAC congresses provide information about recent progress in the whole area of analysis including applications and computation. This book constitutes the proceedings of the third meeting.

Computational Science and Its Applications -- ICCSA 2013

Computational Science and Its Applications -- ICCSA 2013
Author: Beniamino Murgante
Publisher: Springer
Total Pages: 760
Release: 2013-06-22
Genre: Computers
ISBN: 3642396372

The five-volume set LNCS 7971-7975 constitutes the refereed proceedings of the 13th International Conference on Computational Science and Its Applications, ICCSA 2013, held in Ho Chi Minh City, Vietnam, in June 2013. Apart from the general track, ICCSA 2013 also include 33 special sessions and workshops, in various areas of computational sciences, ranging from computational science technologies, to specific areas of computational sciences, such as computer graphics and virtual reality. There are 46 papers from the general track, and 202 in special sessions and workshops.