Local function spaces, heat and Navier-Stokes equations
Hans Triebel
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.
श्रेणियाँ:
साल:
2013
प्रकाशन:
European Mathematical Society Publishing House
भाषा:
english
पृष्ठ:
242
ISBN 10:
3037191236
ISBN 13:
9783037191231
श्रृंखला:
EMS tracts in mathematics, 20
फ़ाइल:
PDF, 2.25 MB
IPFS:
,
english, 2013
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