bokomslag Hodge Theory in the Sobolev Topology for the De Rham Complex
Vetenskap & teknik

Hodge Theory in the Sobolev Topology for the De Rham Complex

Pocket

839:-

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  • 1998
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. It features: a good introduction to elliptic theory, pseudo-differential operators, and boundary value problems; theorems completely explained and proved; and new geometric tools for differential analysis on domains and manifolds.
  • Format: Pocket/Paperback
  • ISBN: 9780821808306
  • Språk: Engelska
  • Utgivningsdatum: 1998-03-30
  • Förlag: American Mathematical Society