Home

About

Advanced Search

Browse by Discipline

Scientific Societies

E-print Alerts

Add E-prints

E-print Network
FAQHELPSITE MAPCONTACT US


  Advanced Search  

 
Anisotropic Function Spaces Maximal Regularity for Parabolic Problems
 

Summary: Anisotropic Function Spaces
and
Maximal Regularity for Parabolic Problems
Part 1: Function Spaces
Herbert Amann
Institut f¨ur Mathematik, Universit¨at Z¨urich,
Winterthurerstr. 190, CH­8057 Z¨urich, Switzerland
herbert.amann@math.uzh.ch
2000 Mathematics Subject Classification. Primary 46E35, 58D25, 35K40, 35K50
Secondary 46E40, 42B35, 35D99, 35G10
Key words and phrases. partial differential equations, function spaces, Fourier
analysis
Abstract. In this first part of a treatise on maximal regularity for linear
parabolic systems we provide an in-depth investigation of anisotropic function
spaces. Special attention is given to trace and extension theorems on hyper-
planes and corners. Building on these results, parabolic evolution equations
in strong and weak settings will be studied in Part 2.
Acknowledgement. This work contains a detailed and widely extended ver-
sion of a series of lectures presented at the Jindrich Necas Center for Mathe-
matical Modeling in Prague, in October 2007. The author gratefully acknowl-

  

Source: Amann, Herbert - Institut für Mathematik, Universität Zürich

 

Collections: Mathematics