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Titlebook: Linear and Quasilinear Parabolic Problems; Volume II: Function Herbert Amann Book 2019 Springer Nature Switzerland AG 2019 Linear Theory.F

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書目名稱Linear and Quasilinear Parabolic Problems
副標(biāo)題Volume II: Function
編輯Herbert Amann
視頻videohttp://file.papertrans.cn/587/586475/586475.mp4
概述Follows the steps of Vol. I "Abstract Linear Theory".Features a clear and rigorous presentation style.Fills a gap in literature
叢書名稱Monographs in Mathematics
圖書封面Titlebook: Linear and Quasilinear Parabolic Problems; Volume II: Function  Herbert Amann Book 2019 Springer Nature Switzerland AG 2019 Linear Theory.F
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 H?lder 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
關(guān)鍵詞Linear Theory; Function Spaces; Linear and Quasilinear Parabolic Problems; Sequence Spaces; Anisotropy; B
版次1
doihttps://doi.org/10.1007/978-3-030-11763-4
isbn_ebook978-3-030-11763-4Series ISSN 1017-0480 Series E-ISSN 2296-4886
issn_series 1017-0480
copyrightSpringer Nature Switzerland AG 2019
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Auxiliary Material,Our in-depth study of vector-valued function spaces is based on a considerable amount of technical tools. Among them stand out extension and restriction theorems and Fourier multiplier estimates.
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Function Spaces,This chapter forms the core of this volume. Besides of the classical function spaces, the basic scales of Besov and Bessel potential spaces are introduced and studied in great detail. Of course, Banach-space-valued anisotropic spaces are considered throughout.
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Herbert AmannFollows the steps of Vol. I "Abstract Linear Theory".Features a clear and rigorous presentation style.Fills a gap in literature
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Springer Nature Switzerland AG 2019
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Linear and Quasilinear Parabolic Problems978-3-030-11763-4Series ISSN 1017-0480 Series E-ISSN 2296-4886
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