Remo Garattini Green’s Functions and Energy Decay on Homogeneous Spaces
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چکیده
Sunto. Si considera uno spazio omogeneo X = (X, d,m) di dimensione ν ≥ 1 e una forma di Dirichlet locale regolare in L (X,m) . Si dimostra che se una disuguaglianza di Poincaré vale su ogni pseudo-sfera B (x,R) di X , con costanti caratteristiche locali c0 (x) e c1 (r), allora si ricava una stima della funzione di Green da sopra e da sotto. Il principio tipo Saint-Venant viene ottenuto in termini di decadimento dell’Energia.
منابع مشابه
Green’s Functions and Energy Decay on Homogeneous Spaces
We consider a homogeneous space X = (X, d,m) of dimension ν ≥ 1 and a local regular Dirichlet form in L2 (X,m) . We prove that if a Poincaré inequality of exponent 1 ≤ p < ν holds on every pseudo-ball B (x,R) of X, with local characteristic constant c0 (x) and c1 (r), then a Green’s function estimate from above and below is obtained. A Saint-Venant-like principle is recovered in terms of the En...
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تاریخ انتشار 2000