It is well known that for higher order elliptic equations, the positivity preserving property (PPP) may fail. In striking contrast to what happens under Dirichlet boundary conditions, we prove that the PPP holds for the biharmonic operator on rectangular domains under partially hinged boundary conditions, i.e., nonnegative loads yield positive solutions. The result follows by fine estimates of the Fourier expansion of the corresponding Green function.
A positivity preserving property result for the biharmonic operator under partially hinged boundary conditions
Falocchi A.
2021-01-01
Abstract
It is well known that for higher order elliptic equations, the positivity preserving property (PPP) may fail. In striking contrast to what happens under Dirichlet boundary conditions, we prove that the PPP holds for the biharmonic operator on rectangular domains under partially hinged boundary conditions, i.e., nonnegative loads yield positive solutions. The result follows by fine estimates of the Fourier expansion of the corresponding Green function.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
4. E. Berchio, A. F., Ann. di mat. pura e applicata.pdf
accesso aperto
:
Publisher’s version
Dimensione
6.18 MB
Formato
Adobe PDF
|
6.18 MB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
