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Memoirs of the American Mathematical Society
1998; 100 pp; softcover
List Price: US$45
Individual Members: US$27
Institutional Members: US$36
Order Code: MEMO/131/622
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.
Graduate students, research mathematicians, control theorists, engineers and physicists working in boundary value problems for elliptic systems.
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