Hodge Theory in the Sobolev Topology for the de Rham Complex (eBook)

Luigi Fontana (Autor)

eBook Download: PDF

100 Seiten
American Mathematical Society (Verlag)
978-1-4704-0211-2 (ISBN)

Infos

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

Produkt-Details

• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Themenwelt: Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• ISBN-10: 1-4704-0211-4 / 1470402114
• ISBN-13: 978-1-4704-0211-2 / 9781470402112