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Beyond Sobolev and Besov

Regularity of Solutions of PDEs and Their Traces in Function Spaces
Book on DemandKartoniert, Paperback
330 Seiten
Englisch
Springererschienen am01.06.20211st ed. 2021
This book investigates the close relation between quite sophisticated function spaces, the regularity of solutions of partial differential equations (PDEs) in these spaces and the link with the numerical solution of such PDEs.mehr
Verfügbare Formate
E-BookPDF1 - PDF WatermarkE-Book
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Book on DemandKartoniert, Paperback
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Produkt

KlappentextThis book investigates the close relation between quite sophisticated function spaces, the regularity of solutions of partial differential equations (PDEs) in these spaces and the link with the numerical solution of such PDEs.
Zusammenfassung
Gives a comprehensive treatment of the relations between complex function spaces, the regularity theory of PDEs and traces

Includes many figures illustrating connections and basic ideas

Provides a systematic and well-written treatment of problems
Details
ISBN/GTIN978-3-030-75138-8
ProduktartBook on Demand
EinbandartKartoniert, Paperback
Verlag
Erscheinungsjahr2021
Erscheinungsdatum01.06.2021
Auflage1st ed. 2021
ReiheLecture Notes in Mathematics
Seiten330 Seiten
SpracheEnglisch
IllustrationenXVIII, 330 p. 58 illus., 44 illus. in color.
Artikel-Nr.16382911

Inhalt/Kritik

Inhaltsverzeichnis
- Introduction. - Function Spaces and General Concepts. - Part I Besov and Fractional Sobolev Regularity of PDEs. - Theory and Background Material for PDEs. - Regularity Theory for Elliptic PDEs. - Regularity Theory for Parabolic PDEs. - Regularity Theory for Hyperbolic PDEs. - Applications to Adaptive Approximation Schemes. - Part II Traces in Function Spaces. - Traces on Lipschitz Domains. - Traces of Generalized Smoothness Morrey Spaces on Domains. - Traces on Riemannian Manifolds.mehr

Schlagworte

Autor

Cornelia Schneider is Senior Lecturer at the Friedrich-Alexander University of Erlangen-Nuremberg, Germany, where she has taught since 2010. Her research interests are in Applied Analysis, in particular, regularity theory of PDEs and function spaces. From 2000-2006 she studied Mathematics with minor Physics at the Friedrich-Schiller University in Jena (spending 1 year abroad in Australia and New Zealand) and obtained her PhD at the University of Leipzig in 2009. From 2009-2010 she worked as a postdoc at the University of Coimbra in Portugal. In 2020 she was awarded the Habilitation as the first woman in Mathematics at the Philipps-University of Marburg.