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

<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. Th...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Volpert, Vitaly (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Basel : Springer Basel : Imprint: Birkhäuser, 2011.
Edición:1st ed. 2011.
Colección:Monographs in Mathematics, 101
Temas:
Acceso en línea:Texto Completo

MARC

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245 1 0 |a Elliptic Partial Differential Equations  |h [electronic resource] :  |b Volume 1: Fredholm Theory of Elliptic Problems in Unbounded Domains /  |c by Vitaly Volpert. 
250 |a 1st ed. 2011. 
264 1 |a Basel :  |b Springer Basel :  |b Imprint: Birkhäuser,  |c 2011. 
300 |a XVIII, 642 p.  |b online resource. 
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490 1 |a Monographs in Mathematics,  |x 2296-4886 ;  |v 101 
505 0 |a 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. 
520 |a <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>. 
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