Geodesic
Hodge theory in the Sobolev topology for the de Rham complex on a smoothly bounded domain in Euclidean space
Fontana, Luigi1 ; Krantz, Steven2 ; Peloso, Marco3
1 Dipartimento di Matematica Via Saldini 50 Università di Milano 20133 Milano (Italy)
2 Department of Mathematics Washington University St. Louis, MO 63130 (U.S.A.)
3 Dipartimento di Matematica Politecnico di Torino 10129 Torino (Italy)
Electronic research announcements of the American Mathematical Society, Tome 01 (1995) no. 3, pp. 103-107.

Voir la notice de l'article provenant de la source American Mathematical Society

The Hodge theory of the de Rham complex in the setting of the Sobolev topology is studied. As a result, a new elliptic boundary value problem is obtained. Next, the Hodge theory of the $\bar {\partial }$-Neumann problem in the Sobolev topology is studied. A new $\bar {\partial }$-Neumann boundary condition is obtained, and the corresponding subelliptic estimate derived.
DOI : 10.1090/S1079-6762-95-03002-2

Fontana, Luigi 1 ; Krantz, Steven 2 ; Peloso, Marco 3

1 Dipartimento di Matematica Via Saldini 50 Università di Milano 20133 Milano (Italy)
2 Department of Mathematics Washington University St. Louis, MO 63130 (U.S.A.)
3 Dipartimento di Matematica Politecnico di Torino 10129 Torino (Italy) 
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Fontana, Luigi; Krantz, Steven; Peloso, Marco. Hodge theory in the Sobolev topology for the de Rham complex on a smoothly bounded domain in Euclidean space. Electronic research announcements of the American Mathematical Society, Tome 01 (1995) no. 3, pp. 103-107. doi : 10.1090/S1079-6762-95-03002-2. http://geodesic.mathdoc.fr/articles/10.1090/S1079-6762-95-03002-2/

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