Can I read Linear and Quasilinear Parabolic Problems : Volume II: Function Spaces on EtoBox?

Linear and Quasilinear Parabolic Problems : Volume II: Function Spaces by Amann, Herbert is a nonfiction available to read on EtoBox.

What is Linear and Quasilinear Parabolic Problems : Volume II: Function Spaces about?

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.

Who reads Linear and Quasilinear Parabolic Problems : Volume II: Function Spaces?

Author

Amann, Herbert

Publisher

Springer International Publishing : Imprint : BirkhÃÞuser

Published

2019

Language

EN

ISBN

9780817651145

Category

nonfiction

Subjects

Mathematics, Stem