Articles liés à Hodge Theory in the Sobolev Topology for the De Rham...

Hodge Theory in the Sobolev Topology for the De Rham Complex - Couverture souple

American Mathematical Society

 
9780821808306: Hodge Theory in the Sobolev Topology for the De Rham Complex

Synopsis

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.

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