Hybrid function spaces, heat and Navier-Stokes equations.

Triebel, Hans:

ISBN 10: 3037191503 / ISBN 13: 9783037191507

Published by Zürich, European Mathematical Society, 2015

About this Item

x, 185 S. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. Ex-library in GOOD condition with library-signature and stamp(s). Some traces of use. R-16650 9783037191507 Sprache: Englisch Gewicht in Gramm: 550.

Seller Inventory # 2480029

Bibliographic Details

• Title: Hybrid function spaces, heat and Navier-Stokes equations.
• Publisher: Zürich, European Mathematical Society
• Publication Date: 2015
• Language: English
• ISBN 10: 3037191503
• ISBN 13: 9783037191507
• Binding: Hardcover
• Weight: 550 grams
• Seller catalogs:
  • SA MATHEMATIK

About this title

Synopsis

This book is the continuation of Local Function Spaces, Heat and Navier-Stokes Equations (EMS Tracts in Mathematics, volume 20, 2013) by the author. A new approach is presented to exhibit relations between Sobolev spaces, Besov spaces, and Hölder-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 a crucial role in the theory of linear and nonlinear PDEs. Chapter 1 (Introduction) describes the main motivations and intentions of this book. Chapter 2 is a self-contained introduction to Morrey spaces. Chapter 3 deals with hybrid smoothness spaces (which are between local and global spaces) in Euclidean n-space based on the Morrey-Campanato refinement of the Lebesgue spaces. The presented approach, which relies on wavelet decompositions, is applied in Chapter 4 to linear and nonlinear heat equations in global and hybrid spaces. The obtained assertions about function spaces and nonlinear heat equations are used in Chapters 5 and 6 to study Navier-Stokes equations in hybrid and global spaces. This book is addressed to graduate students and mathematicians who have a working knowledge of basic elements of (global) function spaces and who are interested in applications to nonlinear PDEs with heat and Navier-Stokes equations as prototypes. A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.