Książka Linear and Quasilinear Parabolic Problems Herbert Amann

Linear and Quasilinear Parabolic Problems

Volume II: Function Spaces

Autor: Herbert Amann
Język: Angielski
Oprawa: Twarda
Dostępność: Dostępna u dostawcy
Wysyłamy za 10-13 dni
545.63
This volume discusses an in-depth theory of function spaces in an Euclidean setting, including sever...

Informacje o książce

Język
Angielski
Oprawa
Książka - Twarda
Data wydania
2019
strony
462
EAN
9783030117627
Enbook ID
21072126
Waga
881
Wymiary
155 x 235 x 32

Pełny opis

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.

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