Sharp boundary estimates for elliptic operators
Davies, E B
arXiv, 9809171 / Harvested from arXiv
Text on arXiv
We prove sharp L^2 boundary decay estimates for the eigenfunctions of certain second order elliptic operators acting in a bounded region, and of their first order space derivatives, using only the Hardy inequality. We then deduce bounds on the change of the eigenvalues when the region is reduced slightly in size, subject to DBCs.
Publié le : 1998-09-29
Classification:  Mathematics - Spectral Theory,  Mathematical Physics,  35P99,  35P20,  47A75,  47B25 
@article{9809171,
     author = {Davies, E B},
     title = {Sharp boundary estimates for elliptic operators},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9809171}
}

Davies, E B. Sharp boundary estimates for elliptic operators. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9809171/