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  2. Regning og matematisk analyse
  3. Funktionsanalyse og transformation

Linear and Quasilinear Parabolic Problems

- Volume II: Function Spaces
Af: Herbert Amann Engelsk Hardback

Linear and Quasilinear Parabolic Problems

- Volume II: Function Spaces
Af: Herbert Amann Engelsk Hardback
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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.


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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.


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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 462
ISBN-13: 9783030117627
Indbinding: Hardback
Udgave:
ISBN-10: 3030117626
Kategori: Funktionsanalyse og transformation
Udg. Dato: 1 maj 2019
Længde: 0mm
Bredde: 155mm
Højde: 235mm
Forlag: Springer Nature Switzerland AG
Oplagsdato: 1 maj 2019
Forfatter(e): Herbert Amann
Forfatter(e) Herbert Amann

Kategori Funktionsanalyse og transformation

ISBN-13 9783030117627

Sprog Engelsk

Indbinding Hardback

Sider 462

Udgave

Længde 0mm

Bredde 155mm

Højde 235mm

Udg. Dato 1 maj 2019

Oplagsdato 1 maj 2019

Forlag Springer Nature Switzerland AG

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