Hodge Theory in the Sobolev Topology for the De Rham Complex

ISBN-13: 9780821808306 / Angielski / Miękka / 1998 / 100 str.

Opis

In this text, the authors treat the full Hodge theory for the de Rham complex when calculated in the Sobolev topology rather than in the L2 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.