Integration by parts and Pohozaev identities for space-dependent fractional-order operators

Gerd Grubb

Consider a classical elliptic pseudodifferential operator $P$ on ${\mathbb{R}}^n$ of order $2a$ ($0<a<1)$ with even symbol. For example, $P=A(x,D{)}^a$ where $A(x,D)$ is a second-order s…