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

Maz’ya, V.G.

 
9783540519973: Analysis IV: Linear and Boundary Integral Equations: Vol 27 (Encyclopaedia of Mathematical Sciences)
Hardcover
ISBN 10: 3540519971 ISBN 13: 9783540519973
Verlag: Springer, 1991

Inhaltsangabe

I. Linear Integral Equations.- II. Boundary Integral Equations.- Author Index.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Reseña del editor

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.

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Verlag
Springer
Erscheinungsdatum
1991
Sprache
Englisch
ISBN 10 
3540519971
ISBN 13 
9783540519973
Einband
Tapa dura
Anzahl der Seiten
248
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