We find and prove new Pohozaev identities and integration by parts type formulas for anisotropic integrodifferential operators of order 2s, with s∈(0,1). These identities involve local boundary terms, in which the quantity plays the role that ∂u∕∂ν plays in the second-order case. Here, u is any solution to Lu = f(x,u) in Ω, with u = 0 in ℝn∖Ω, and d is the distance to ∂Ω.
Pohozaev identities for anisotropic integrodifferential operators / X. Ros-Oton, J. Serra, E. Valdinoci. - In: COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0360-5302. - 42:8(2017), pp. 1290-1321. [10.1080/03605302.2017.1349148]
Pohozaev identities for anisotropic integrodifferential operators
E. ValdinociUltimo
2017
Abstract
We find and prove new Pohozaev identities and integration by parts type formulas for anisotropic integrodifferential operators of order 2s, with s∈(0,1). These identities involve local boundary terms, in which the quantity plays the role that ∂u∕∂ν plays in the second-order case. Here, u is any solution to Lu = f(x,u) in Ω, with u = 0 in ℝn∖Ω, and d is the distance to ∂Ω.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
CommPartialDifferentialEquations_PohozaevIdentities_2017.pdf
accesso riservato
Tipologia:
Publisher's version/PDF
Dimensione
583.62 kB
Formato
Adobe PDF
|
583.62 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
Pubblicazioni consigliate
Caricamento pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
