We consider the Sobolev norms of the pointwise product of two functions, and estimate from above and below the constants appearing in two related inequalities. Explicit quantitative estimates for such constants, even non optimal, is useful for strictly quantitative applications to nonlinear PDE’s; in particular, they can be employed to derive "tame" estimates (in the sense of the Nash-Moser theory) in the case of polynomial nonlinearities.
On the constants in some inequalities for the Sobolev norms and pointwise product
MOROSI, CARLO;
2002-01-01
Abstract
We consider the Sobolev norms of the pointwise product of two functions, and estimate from above and below the constants appearing in two related inequalities. Explicit quantitative estimates for such constants, even non optimal, is useful for strictly quantitative applications to nonlinear PDE’s; in particular, they can be employed to derive "tame" estimates (in the sense of the Nash-Moser theory) in the case of polynomial nonlinearities.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Sobolev2.pdf
Accesso riservato
:
Altro materiale allegato
Dimensione
1.97 MB
Formato
Adobe PDF
|
1.97 MB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
