Data di Pubblicazione:
2017
Citazione:
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]
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.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
nonlocal operator; Pohozaev identity; stable Lévy processes; analysis; applied mathematics
Elenco autori:
X. Ros-Oton, J. Serra, E. Valdinoci
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