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Feldname	Details
Dewey Class	515.353
Titel	Elliptic Partial Differential Equations ([Ebook]) : Volume 1: Fredholm Theory of Elliptic Problems in Unbounded Domains / by Vitaly Volpert.
Verfasser	Volpert, Vitaly A. , 1958-
Other name(s)	SpringerLink (Online service)
Veröffentl	Basel : Springer , 2011.
Physical Details	XVIII, 642 pages : online resource.
Reihe	Monographs in mathematics ; 101
ISBN	9783034605373
Summary Note	<p>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.</p> <p>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.</p>:
Contents note	Chapter 1. Introduction -- Chapter 2. Function spaces and operators -- Chapter 3. A priori estimates -- Chapter 4. Normal solvability -- Chapter 5. Fredholm property -- Chapter 6. Formally adjoint problems -- Chapter 7. Elliptic problems with a parameter -- Chapter 8. Index of elliptic operators -- Chapter 9. Problems in cylinders -- Chapter 10. Non-Fredholm operators -- Chapter 11. Nonlinear Fredholm operators -- Supplement. Discrete operators.-Historical and bibliographical comments -- Acknowledgements -- References.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-3-0346-0537-3
LINKS ZU 'VERWANDTEN WERKEN	Schlagwörter: . Differential equations, Elliptic . Fredholm operators . Mathematics . Partial differential equations . Authors: Volpert, Vitaly A. 1958- . Corporate Authors: SpringerLink (Online service) . Series: Monographs in mathematics . Classification: 515.353 . 515.353 (DDC 23) .

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Elliptic Partial Differential Equations: Volume 1: Fredholm Theory of Elliptic Problems in Unbounded Domains

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