
Analysis IV
Linear and Boundary Integral Equations
Springer (Publisher)
Published in 1991
Book
Hardback
VII, 233 pages
978-3-540-51997-3 (ISBN)
Description
The first part of this volume is a survey of the current state of the theory of linear integral equations. Material from abstract operator theory is presented first, before moving on to a detailed discussion of Fredholm operators and estimates for the eigenvalues and singular numbers of integral operators. Other sections of this part are devoted to the theories of one-, and higher-dimensional singular operators. The second part of the volume concentrates on theoretical aspects of the boundary integral equation method, with particular emphasis on the results for equations on non-smooth surfaces obtained during the last few years. A survey of the classical theory of harmonic potentials and the boundary integral equations on smooth surfaces generated by such potentials is given and the theory is then extended to elastic and hydrodynamic potentials and to other problems of mathematical physics, including the oblique derivative problem, the biharmonic equation, the heat and wave equations and viscoelasticity.
More details
Series
Language
German
Place of publication
Berlin
Germany
Target group
College/higher education
Professional and scholarly
Illustrations
4 figs.
Dimensions
Height: 240 mm
Weight
515 gr
ISBN-13
978-3-540-51997-3 (9783540519973)
Schweitzer Classification
Other editions
Additional editions

Book
11/2012
Springer
€53.49
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Content
Linear integral equations, S. Prossdorf; boundary integral equations, V.G. Maz'ya.