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Hodge Theory in the Sobolev Topology for the de Rham Complex (Memoirs of the American MAthematical Society)m
     

Hodge Theory in the Sobolev Topology for the de Rham Complex (Memoirs of the American MAthematical Society)m

by Luigi Fontana, Steven George Krantz, Marco M. Peloso, Steven G. Krantz
 

ISBN-10: 0821808303

ISBN-13: 9780821808306

Pub. Date: 03/02/1998

Publisher: American Mathematical Society

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

Overview

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

Product Details

ISBN-13:
9780821808306
Publisher:
American Mathematical Society
Publication date:
03/02/1998
Series:
Memoirs of the American Mathematical Society Series , #622
Pages:
100
Product dimensions:
6.92(w) x 9.52(h) x 0.31(d)

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