| 书目名称 | Linear and Quasilinear Parabolic Problems | | 副标题 | Volume II: Function | | 编辑 | Herbert Amann | | 视频video | | | 概述 | Follows the steps of Vol. I "Abstract Linear Theory".Features a clear and rigorous presentation style.Fills a gap in literature | | 丛书名称 | Monographs in Mathematics | | 图书封面 |  | | 描述 | .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.. . | | 出版日期 | Book 2019 | | 关键词 | Linear Theory; Function Spaces; Linear and Quasilinear Parabolic Problems; Sequence Spaces; Anisotropy; B | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-11763-4 | | isbn_ebook | 978-3-030-11763-4Series ISSN 1017-0480 Series E-ISSN 2296-4886 | | issn_series | 1017-0480 | | copyright | Springer Nature Switzerland AG 2019 |
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发表于 2025-3-21 17:29:32
