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Linear and Quasilinear Parabolic Problems : Volume II: Function Spaces / by Herbert Amann
(Monographs in Mathematics. ISSN:22964886 ; 106)
版 | 1st ed. 2019. |
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出版者 | Cham : Springer International Publishing : Imprint: Birkhäuser |
出版年 | 2019 |
大きさ | XVI, 462 p : online resource |
著者標目 | *Amann, Herbert author SpringerLink (Online service) |
件 名 | LCSH:Functional analysis FREE:Functional Analysis |
一般注記 | Restriction-Extension Pairs -- Sequence Spaces -- Anisotropy -- Classical Spaces -- Besov Spaces -- Intrinsic Norms, Slobodeckii and Hölder Spaces -- Bessel Potential Spaces -- Triebel-Lizorkin Spaces -- Point-Wise Multiplications -- Compactness -- Parameter-Dependent Spaces 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 HTTP:URL=https://doi.org/10.1007/978-3-030-11763-4 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783030117634 |
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EB00196739 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA319-329.9 DC23:515.7 |
書誌ID | 4000121572 |
ISBN | 9783030117634 |
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