Elliptic Partial Differential Equations

Volume 1: Fredholm Theory of Elliptic Problems in Unbounded Domains

By:

Vitaly Volpert

Format:

Hardback

Series:

Monographs in Mathematics

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Description

The theory of elliptic partial differential equations has undergone an important development over the last two centuries. Together with electrostatics, heat and mass diffusion, hydrodynamics and many other applications, it has become one of the most richly enhanced fields of mathematics. This monograph undertakes a systematic presentation of the theory of general elliptic operators. The author discusses a priori estimates, normal solvability, the Fredholm property, the index of an elliptic operator, operators with a parameter, and nonlinear Fredholm operators. Particular attention is paid to elliptic problems in unbounded domains which have not yet been sufficiently treated in the literature and which require some special approaches. The book also contains an analysis of non-Fredholm operators and discrete operators as well as extensive historical and bibliographical comments . The selected topics and the author's level of discourse will make this book a most useful resource for researchers and graduate students working in the broad field of partial differential equations and applications.

Release date Australia

March 6th, 2011

Author

Vitaly Volpert

Audience

Professional & Vocational

Illustrations

XVII, 639 p.

Pages

639

Series

Monographs in Mathematics

Dimensions

155x235x41

ISBN-13

9783034605366

Product ID

8918700

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Elliptic Partial Differential Equations

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