Pohozaev identities for anisotropic integrodifferential operators
2017; Taylor & Francis; Volume: 42; Issue: 8 Linguagem: Inglês
10.1080/03605302.2017.1349148
ISSN1532-4133
AutoresXavier Ros‐Oton, Joaquim Serra, Enrico Valdinoci,
Tópico(s)Numerical methods in inverse problems
ResumoWe 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.
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