Une inégalité de Gårding à bord
Journées équations aux dérivées partielles (2000), article no. 5, 12 p.
Voir la notice de l'acte provenant de la source Numdam
The aim of this work is to give a Gårding inequality for pseudodifferential operators acting on functions in supported in a closed regular region . A natural idea is to suppose that the symbol is non-negative in . Assuming this, we show that this result is true for pseudo-differential operators of order one, when is the half-space, and under a supplementary weak hypothesis of degeneracy of the symbol on the boundary.
@incollection{JEDP_2000____A5_0, author = {H\'erau, Fr\'ed\'eric}, title = {Une in\'egalit\'e de {G\r{a}rding} \`a bord}, booktitle = {}, series = {Journ\'ees \'equations aux d\'eriv\'ees partielles}, eid = {5}, pages = {1--12}, publisher = {Universit\'e de Nantes}, year = {2000}, doi = {10.5802/jedp.569}, mrnumber = {2001f:35455}, zbl = {01808695}, language = {fr}, url = {http://geodesic.mathdoc.fr/articles/10.5802/jedp.569/} }
Hérau, Frédéric. Une inégalité de Gårding à bord. Journées équations aux dérivées partielles (2000), article no. 5, 12 p.. doi: 10.5802/jedp.569
Cité par Sources :