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Local function spaces, heat and Navier-Stokes equations - Info and Reading Options

"Local function spaces, heat and Navier-Stokes equations" was published by European Mathematical Society Publishing House in 2013 - Zürich, Switzerland, it has 232 pages and the language of the book is English.


“Local function spaces, heat and Navier-Stokes equations” Metadata:

  • Title: ➤  Local function spaces, heat and Navier-Stokes equations
  • Author:
  • Language: English
  • Number of Pages: 232
  • Publisher: ➤  European Mathematical Society Publishing House
  • Publish Date:
  • Publish Location: Zürich, Switzerland

“Local function spaces, heat and Navier-Stokes equations” Subjects and Themes:

Edition Specifications:

  • Pagination: ix, 232 pages

Edition Identifiers:

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"Local function spaces, heat and Navier-Stokes equations" Description:

The Open Library:

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.

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