Beyond Sobolev and Besov

Regularity of Solutions of PDEs and Their Traces in Function Spaces

AvCornelia Schneider

Häftad, Engelska, 2021

Del i serien Lecture Notes in Mathematics

402 kr

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2021-06-01
Mått:155 x 235 x 22 mm
Vikt:532 g
Format:Häftad
Språk:Engelska
Serie:Lecture Notes in Mathematics
Antal sidor:330
Förlag:Springer Nature Switzerland AG
ISBN:9783030751388

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Mer om författaren

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.

Innehållsförteckning

- 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.