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Local Function Spaces, Heat and Navier-stokes Equations (EMS Tracts in Mathematics) by Hans Triebel, mathématicien) is a nonfiction available to read on EtoBox.

What is Local Function Spaces, Heat and Navier-stokes Equations (EMS Tracts in Mathematics) about?

In this book 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 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 presented approach relies on wavelet decompositions. This is applied in Chapter 4 to Gagliardo-Nirenberg inequalities. Chapter 5 deals with linear and nonlinear heat equations in global and local function spaces. The obtained assertions about function spaces and nonlinear heat equations are used in Chapter 6 to study Navier-Stokes equations. The book is addressed to graduate students and mathematicians having 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. Read more...

Who reads Local Function Spaces, Heat and Navier-stokes Equations (EMS Tracts in Mathematics)?

Author

Hans Triebel, mathématicien)

Publisher

European Mathematical Society Publishing House, Zuerich, Switzerland

Published

2013

Language

EN

ISBN

9783037191231

Category

nonfiction

Subjects

Mathematics, Stem