Various Lp form Poincar´e type inequalities [1], forward and reverse, are given for a Linear Differential Operator L, involving its related initial value problem solution y, Ly, the associated Green’s function H and initial conditions at point x0 ∈ ℝ.
@article{1496,
title = {Poincar\'{}e Type Inequalities for Linear Differential Operators},
journal = {CUBO, A Mathematical Journal},
volume = {10},
year = {2008},
language = {en},
url = {http://dml.mathdoc.fr/item/1496}
}
Anastassiou, George A. Poincar´e Type Inequalities for Linear Differential Operators. CUBO, A Mathematical Journal, Tome 10 (2008) . http://gdmltest.u-ga.fr/item/1496/