Optimal estimates from below for Green functions of higher order elliptic operators with variable leading coefficients
@article{Grunau2021OptimalEF, title={Optimal estimates from below for Green functions of higher order elliptic operators with variable leading coefficients}, author={HansChristoph Grunau}, journal={Archiv der Mathematik}, year={2021} }
Estimates from above and below by the same positive prototype function for suitably modified Green functions in bounded smooth domains under Dirichlet boundary conditions for elliptic operators L of higher order $$2m\ge 4$$
2
m
≥
4
have been shown so far only when the principal part of L is the polyharmonic operator $$(\Delta )^m$$
(

Δ
)
m
. In the present note, it is shown that such kind of result still holds when the Laplacian is replaced by any second order… Expand
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