Fractional and Integer Order Sobolev Spaces for Compact Metric Graphs

Elsiddig Awadelkarim, David Bolin, Alexandre B. Simas

Given a compact metric graph $\hat{I}“$ and the Laplacian $\hat{I}{”}_{\hat{I}}“$ coupled with standard (Kirchhoff) vertex conditions, solutions to fractional elliptic partial differential equations of…