On the spectral function of some higher order elliptic or degenerate-elliptic operators
Ouhabaz, EM
HAL, hal-00694257 / Harvested from HAL
Text on HAL
We study the spectral function lambda --> s(lambda) := s(-A+lambda V) where s(-A+lambda V) denotes the spectral bound of the perturbed operator -A+lambda V and V is a suitable potential. In the case where A = (-1)(m) (\alpha\=\beta\=m)Sigma D-alpha(a(alpha beta)D(beta)) is a higher order degenerate-elliptic operator on L-2(R-N) and V is an element of L-1(R-N) we show in particular that s(lambda) > 0 for all lambda > 0 provided that integral(RN) V(x)dx greater than or equal to 0, V not equal 0 and N less than or equal to 2m.
Publié le : 1998-07-05
Classification:  [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph] 
@article{hal-00694257,
     author = {Ouhabaz, EM},
     title = {On the spectral function of some higher order elliptic or degenerate-elliptic operators},
     journal = {HAL},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00694257}
}

Ouhabaz, EM. On the spectral function of some higher order elliptic or degenerate-elliptic operators. HAL, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/hal-00694257/