Linear and Boundary Integral Equations: Vol 27 (Encyclopaedia of Mathematical Sciences) - Hardcover

Mazya, V.G.; Nikolskij, S.M.

 
9783540519973: Linear and Boundary Integral Equations: Vol 27 (Encyclopaedia of Mathematical Sciences)
Hardcover
ISBN 10: 3540519971 ISBN 13: 9783540519973
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1991

Synopsis

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.

"synopsis" may belong to another edition of this title.

Synopsis

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.

"About this title" may belong to another edition of this title.

Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Publication date
1991
Language
English
ISBN 10 
3540519971
ISBN 13 
9783540519973
Binding
Hardcover
Number of pages
240
Editor
Maz'ia V. G., Nikol'skii Sergei M.

Other Popular Editions of the Same Title

9783642634918: Analysis IV: Linear and Boundary Integral Equations: 27 (Encyclopaedia of Mathematical Sciences, 27)

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ISBN 10:  3642634915 ISBN 13:  9783642634918
Publisher: Springer, 2012
Softcover