Green's Functions and Energy Decay on Homogeneous Spaces
Garattini, Remo
arXiv, 9708002 / Harvested from arXiv
Text on arXiv
We consider a homogeneous space X=(X,d,m) of dimension $\nu \geq 1$ and a local regular Dirichlet form in L^{2}(X,m). We prove that if a Poincar\'{e} inequality holds on every pseudo-ball B(x,R) of X, with local characteristic constant c_{0}(x) and c_{1}(r), then a Green's function estimate from above and below is obtained. A Saint-Venant-like principle is recovered in terms of the Energy's decay.
Publié le : 1997-08-09
Classification:  Mathematics - Functional Analysis,  Mathematical Physics 
@article{9708002,
     author = {Garattini, Remo},
     title = {Green's Functions and Energy Decay on Homogeneous Spaces},
     journal = {arXiv},
     volume = {1997},
     number = {0},
     year = {1997},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9708002}
}

Garattini, Remo. Green's Functions and Energy Decay on Homogeneous Spaces. arXiv, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/9708002/