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Functional Analysis, Sobolev Spaces and Partial ...

UniversitextFor other titles in this series, go CHaim BrezisFunctional analysis , Sobolev Spaces and Partial differential EquationsHaim BrezisDistinguished ProfessorDepartment of MathematicsRutgers UniversityPiscataway, NJ m rite, Universit Pierre et Marie Curie (Paris 6) andVisiting Distinguished Professor at the TechnionEditorial board:Sheldon Axler, San Francisco State UniversityVincenzo Capasso, Universit degli Studi di MilanoCarles Casacuberta, Universitat de BarcelonaAngus MacIntyre, Queen Mary, University of LondonKenneth Ribet, University of California, BerkeleyClaude Sabbah, CNRS, cole PolytechniqueEndre S li, University of OxfordWojbor Woyczy ski, Case Western Reserve UniversityISBN 978-0-387-70913-0 e-ISBN 978-0-387-70914-7 DOI New York Dordrecht Heidelberg LondonLibrary of Congress Control Number: 2010938382 Mathematics Subject Classification (2010): 35 Rxx, 46 Sxx, 47 Sxx Springer Science+Business Media, LLC 2011 All rights reserved.

example, in differential geometry, harmonic analysis, engineering, mechanics, and physics. They belong to the toolbox of any graduate student in analysis. Unfortunately, FA and PDEs are often taught in separate courses, even though they are intimately connected. Many questions tackled in FA originated in PDEs (for

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