Non prolongement unique des solutions d'opérateurs «somme de carrés»
1986; Association of the Annals of the Fourier Institute; Volume: 36; Issue: 4 Linguagem: Inglês
10.5802/aif.1071
ISSN1777-5310
Autores Tópico(s)Advanced Banach Space Theory
ResumoLet (x i ), i=1,...,n-1 be C ∞ linearly independent vector fields on an open set Φ of R n . Assume that the Lie algebra generated by these fields is of maximal rank at every point of Ω and that the volume form associated to them is of class 4 at a point x 0 of Ω. We show then that if P is the operator P=∑ i=1 n-1 x i 2 , there exists an open neighborhood V of x 0 and a function a∈C ∞ (V) such that P+a does not enjoy the uniqueness extension property.
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