Téléchargez le livre : Linear and Quasilinear Parabolic Problems

Linear and Quasilinear Parabolic Problems

Volume II: Function Spaces de

Éditeur :

Birkhäuser


Collection :

Monographs in Mathematics

Paru le : 2019-04-16

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Description

This volume discusses an in-depth theory of function spaces in an Euclidean setting, including several new features, not previously covered in the literature. In particular, it develops a unified theory of anisotropic Besov and Bessel potential spaces on Euclidean corners, with infinite-dimensional Banach spaces as targets.
It especially highlights the most important subclasses of Besov spaces, namely Slobodeckii and Hölder spaces. In this case, no restrictions are imposed on the target spaces, except for reflexivity assumptions in duality results. In this general setting, the author proves sharp embedding, interpolation, and trace theorems, point-wise multiplier results, as well as Gagliardo-Nirenberg estimates and generalizations of Aubin-Lions compactness theorems.
The results presented pave the way for new applications in situations where infinite-dimensional target spaces are relevant – in the realm of stochastic differential equations, for example.
Pages
462 pages
Collection
Monographs in Mathematics
Parution
2019-04-16
Marque
Birkhäuser
EAN papier
9783030117627
EAN PDF
9783030117634
Informations sur l'ebook
Nombre pages copiables
4
Nombre pages imprimables
46
Taille du fichier
3942 Ko
Prix
126,59 €

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