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"This book is intended for students who wish to get an introduction to the theory of partial differential equations. The author focuses on elliptic equations and systematically develops the relevant existence schemes, always with a view toward nonlinear problems. These are maximum principle methods (particularly important for numerical analysis schemes), parabolic equations, variational methods, and continuity methods.
This book also develops the main methods for obtaining estimates for solutions of elliptic equations: Sobolev space theory, weak and strong solutions, Schauder estimates, and Moser iteration. Connections between elliptic, parabolic, and hyperbolic equations are explored, as well as the connection with Brownian motion and semigroups. This book can be utilized for a one-year course on partial differential equations."--BOOK JACKET.
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Previews available in: English
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Partial Differential Equations
2013, Springer New York, Imprint: Springer
electronic resource /
in English
- 3rd ed. 2013.
1461448093 9781461448099
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Partial Differential Equations (Graduate Texts in Mathematics)
January 8, 2007, Springer
in English
0387493182 9780387493183
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Partielle Differential-gleichungen: Elliptische (und parabolische) Gleichungen
1998, Springer Berlin Heidelberg
Elektronische Ressource
in German
3642588883 9783642588884
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Partielle Differentialgleichungen: Elliptische (und parabolische) Gleichungen
November 30, 1998, Springer
Paperback
in German
- 1 edition
3540642226 9783540642220
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Book Details
Edition Notes
Includes bibliographical references (p. [317]) and index.
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December 23, 2024 | Edited by bitnapper | Merge works |
December 23, 2024 | Edited by bitnapper | Merge works |
November 15, 2023 | Edited by MARC Bot | import existing book |
December 6, 2010 | Edited by Open Library Bot | Added subjects from MARC records. |
December 9, 2009 | Created by WorkBot | add works page |