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Linear and Quasilinear Parabolic Problems: Volume II: Function Spaces

214,48 
214,48 
2025-07-31 214.4800 InStock
Nemokamas pristatymas į paštomatus per 18-22 darbo dienų užsakymams nuo 19,00 

Knygos aprašymas

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.

Informacija

Autorius: Herbert Amann
Serija: Monographs in Mathematics
Leidėjas: Springer Nature Switzerland
Išleidimo metai: 2019
Knygos puslapių skaičius: 480
ISBN-10: 3030117626
ISBN-13: 9783030117627
Formatas: Knyga kietu viršeliu
Kalba: Anglų
Žanras: Functional analysis and transforms

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