We prove hypoellipticity in the sense of germs for the operatorP = L-q(L) over bar (q) + (L) over bar (q)t(2k) L-q + Q(2),whereL-q = D-t + it(q-1)root-Delta(x) and Q = x(1)D(2) - x(2)D(1),even though it fails to be hypoelliptic in the strong sense. The primary tool is an a priori estimate.
Chinni, G. (2012). GERM HYPOELLIPTICITY AND LOSS OF DERIVATIVES. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 140(7), 2417-2427 [10.1090/S0002-9939-2011-11252-8].
GERM HYPOELLIPTICITY AND LOSS OF DERIVATIVES
Chinni, G
2012
Abstract
We prove hypoellipticity in the sense of germs for the operatorP = L-q(L) over bar (q) + (L) over bar (q)t(2k) L-q + Q(2),whereL-q = D-t + it(q-1)root-Delta(x) and Q = x(1)D(2) - x(2)D(1),even though it fails to be hypoelliptic in the strong sense. The primary tool is an a priori estimate.File in questo prodotto:
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