Linear and Boundary Integral Equations by V G Maz'ia

Regular price
Checking stock...
Regular price
Checking stock...
Summary

This volume begins with a survey of current linear integral equation theory and presents abstract operator theory material before moving on to Fredholm operators. The second part deals with theoretical aspects of the boundary integral equation method and surveys classic harmonic potential theory.

The feel-good place to buy books
  • Free delivery in Australia
  • Supporting authors with AuthorSHARE
  • 100% recyclable packaging
  • Proud to be a B Corp – A Business for good

Linear and Boundary Integral Equations by V G Maz'ia

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.
SKU Unavailable
ISBN 13 9783540519973
ISBN 10 3540519971
Title Linear and Boundary Integral Equations
Author V G Maz'ia
Series Encyclopaedia Of Mathematical Sciences
Condition Unavailable
Binding Type Hardback
Publisher Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Year published 1991-04-01
Number of pages 240
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.