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Local Function Spaces, Heat and Navier-Stokes Equations

Local Function Spaces, Heat and Navier-Stokes Equations( )
Author: Triebel, Hans
Series title:EMS Tracts in Mathematics Ser.
Publication Date:May 2013
Publisher:European Mathematical Society
Book Format:Hardback
List Price:USD $84.00
Book Description:

In this book a new approach is presented to exhibit relations between Sobolev spaces, Besov spaces, and Holder-Zygmund spaces on the one hand and Morrey-Campanato spaces on the other. Morrey-Campanato spaces extend the notion of functions of bounded mean oscillation. These spaces play an important role in the theory of linear and nonlinear PDEs. Chapters 1-3 deal with local smoothness spaces in Euclidean $n$-space based on the Morrey-Campanato refinement of the Lebesgue spaces. The...
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