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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Autor principal: Volpert, Vitaly, 1958-
Format: Livre numérique
Idioma:Anglais
Publicat: Basel : Springer Basel : Springer e-books [20..].
Cham : Springer Nature
Col·lecció:Monographs in Mathematics 101
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Nota: Description d'après consultation du 18 février 2013
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Edition sous un autre format:• Elliptic partial differential equations, Volume 1, fredholm theory of elliptic problems in unbounded domains, Vitaly Volpert, Basel, Springer, 2011, 1 vol. (XVII-639 p.), Monographs in mathematics, 978-3-0346-0536-6
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100 1 |a Volpert, Vitaly,  |d 1958- 
245 1 0 |a Elliptic partial differential equations.  |n Volume 1,  |p fredholm theory of elliptic problems in unbounded domains   |c Vitaly Volpert. 
260 |a Basel :  |b Springer Basel :  |b Springer e-books. 
260 |a Cham :  |b Springer Nature,  |c [20..]. 
490 0 |a Monographs in Mathematics  |v 101 
500 |a Description d'après consultation du 18 février 2013 
500 |a Archives Springer e-books (Licence nationale) 
500 |a Archives Springer e-books (Licence nationale) 
504 |a Bibliogr. Index 
505 1 |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 
506 |a Accès en ligne pour les établissements français bénéficiaires des licences nationales 
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506 |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 
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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650 |a Équations aux dérivées partielles 
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