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Hodge Theory in the Sobolev Topology for the de Rham Complex
ISBN-13:
9781470402112
Einband:
PDF
Seiten:
100
Autor:
Luigi Fontana
eBook Typ:
PDF
eBook Format:
PDF
Kopierschutz:
Adobe DRM [Hard-DRM]
Sprache:
Deutsch
Beschreibung:
In this book, the authors treat the full Hodge theory for the de Rham complex when calculated in the Sobolev topology rather than in the $L^2$ topology. The use of the Sobolev topology strikingly alters the problem from the classical setup and gives rise to a new class of elliptic boundary value problems. The study takes place on both the upper half space and on a smoothly bounded domain. Features: a good introduction to elliptic theory, pseudo-differential operators, and boundary value problems theorems completely explained and proved new geometric tools for differential analysis on domains and manifolds
In this book, the authors treat the full Hodge theory for the de Rham complex when calculated in the Sobolev topology rather than in the $L^2$ topology. The use of the Sobolev topology strikingly alters the problem from the classical setup and gives rise to a new class of elliptic boundary value problems. The study takes place on both the upper half space and on a smoothly bounded domain. Features: a good introduction to elliptic theory, pseudo-differential operators, and boundary value problems theorems completely explained and proved new geometric tools for differential analysis on domains and manifolds