Local function spaces, heat and Navier-Stokes equations / Hans Triebel
Type de document : MonographieCollection : EMS Tracts in mathematics, 20Langue : anglais.Pays: Swisse.Éditeur : Zürich : European Mathematical Society, 2013Description : 1 vol. (ix-232 p.) ; 25 cmISBN: 9783037191231.Bibliographie : Bibliogr. p. [215]-227. Index.Sujet MSC : 46E35, Functional analysis - Linear function spaces and their duals, Sobolev spaces and other spaces of "smooth'' functions, embedding theorems, trace theorems46-02, Research exposition (monographs, survey articles) pertaining to functional analysis
35A23, General topics in partial differential equations, Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals
35K05, PDEs - Parabolic equations and parabolic systems, Heat equation
35Q30, PDEs of mathematical physics and other areas of application, Navier-Stokes equationsEn-ligne : Zentralblatt
| Item type | Current library | Call number | Status | Date due | Barcode |
|---|---|---|---|---|---|
Monographie
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CMI Salle 1 | 46 TRI (Browse shelf(Opens below)) | Available | 12359-01 |
The book is addressed to graduate students and mathematicians having a working knowledge of basic elements of global functions and who are interested in applications to nonlinear PDEs with heat Navier-Stokes equations.
The author presents a new approach 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.
In the first three chapters local smoothness spaces in Euclidean n-space, based on Morrey-Campanato refinement of Lebesgue spaces, are considered. The approach of the author relies on wavelet decompositions. This is applied in the next chapter to Gagliardo-Nirenberg inequalities. In chapter 5, linear and nonlinear heat equations in global and local function spaces are studied. The obtained properties about function spaces and nonlinear heat equations are used in the next chapter to study Navier-Stokes equations. (MathSciNet)
Bibliogr. p. [215]-227. Index
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