Details

Linear and Quasilinear Parabolic Problems


Linear and Quasilinear Parabolic Problems

Volume II: Function Spaces
Monographs in Mathematics, Band 106

von: Herbert Amann

117,69 €

Verlag: Birkhäuser
Format: PDF
Veröffentl.: 16.04.2019
ISBN/EAN: 9783030117634
Sprache: englisch

Dieses eBook enthält ein Wasserzeichen.

Beschreibungen

<p>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.</p><p>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&nbsp;author&nbsp;proves&nbsp;sharp embedding, interpolation, and trace theorems, point-wise multiplier results, as well as Gagliardo-Nirenberg estimates and generalizations of Aubin-Lions compactness theorems.</p><p>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.</p><p> </p><p><br></p><p></p>
Restriction-Extension Pairs.- Sequence Spaces.- Anisotropy.- Classical Spaces.- Besov Spaces.- Intrinsic Norms, Slobodeckii and Hölder Spaces.- Bessel Potential Spaces.- Triebel-Lizorkin Spaces.-&nbsp;Point-Wise Multiplications.-&nbsp;Compactness.-&nbsp;Parameter-Dependent Spaces.
<p>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.</p>

<p>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&nbsp;author&nbsp;proves&nbsp;sharp embedding, interpolation, and trace theorems, point-wise multiplier results, as well as Gagliardo-Nirenberg estimates and generalizations of Aubin-Lions compactness theorems.</p>

<p>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.</p>

<p><br></p>
Follows the steps of Vol. I "Abstract Linear Theory" Features a clear and rigorous presentation style Fills a gap in literature

Diese Produkte könnten Sie auch interessieren:

Classical Fourier Analysis
Classical Fourier Analysis
von: Loukas Grafakos
PDF ebook
50,24 €
Nonsmooth Dynamics of Contacting Thermoelastic Bodies
Nonsmooth Dynamics of Contacting Thermoelastic Bodies
von: Jan Awrejcewicz, Yuriy Pyr'yev
PDF ebook
106,99 €
Introduction to Hamiltonian Dynamical Systems and the N-Body Problem
Introduction to Hamiltonian Dynamical Systems and the N-Body Problem
von: Kenneth Meyer, Glen Hall, Dan Offin
PDF ebook
106,99 €