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Local Function Spaces, Heat and Navier–Stokes Equations:
 
Hans Triebel University of Jena, Germany
A publication of European Mathematical Society
Local Function Spaces, Heat and Navier--Stokes Equations
Hardcover ISBN:  978-3-03719-123-1
Product Code:  EMSTM/20
List Price: $84.00
AMS Member Price: $67.20
Please note AMS points can not be used for this product
Local Function Spaces, Heat and Navier--Stokes Equations
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Local Function Spaces, Heat and Navier–Stokes Equations:
Hans Triebel University of Jena, Germany
A publication of European Mathematical Society
Hardcover ISBN:  978-3-03719-123-1
Product Code:  EMSTM/20
List Price: $84.00
AMS Member Price: $67.20
Please note AMS points can not be used for this product
  • Book Details
     
     
    EMS Tracts in Mathematics
    Volume: 202013; 241 pp
    MSC: Primary 46; 42; 35; 76;

    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 with a working knowledge of basic elements of (global) function spaces and an interest 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.

    Readership

    Graduate students and researchers interested in applications to nonlinear PDEs with heat and Navier–Stokes equations as prototypes.

  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 202013; 241 pp
MSC: Primary 46; 42; 35; 76;

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 with a working knowledge of basic elements of (global) function spaces and an interest 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.

Readership

Graduate students and researchers interested in applications to nonlinear PDEs with heat and Navier–Stokes equations as prototypes.

Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.