Книга Linear and Quasilinear Parabolic Problems Herbert Amann

Linear and Quasilinear Parabolic Problems

Volume II: Function Spaces

Автор: Herbert Amann
Език: Английски език
Корици: С твърди корици
Наличност: Външен склад
Изпращаме след 10-13 дни
134.00 262.08 лв
This volume discusses an in-depth theory of function spaces in an Euclidean setting, including sever...

Информация за книгата

Автор
Език
Английски език
Корици
Книга - С твърди корици
Издадена
2019
страници
462
EAN
9783030117627
Enbook ID
21072126
Теглоt
881
Размери
155 x 235 x 32

Пълно описание

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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