Partially Localized Intersecting BPS Branes

We present the explicit forms of supergravity solutions for the various intersecting two BPS branes in eleven and ten dimensions, where one brane is localized at the delocalized other brane. Our partially localized supergravity solutions describe brane configurations in the near horizon region of the delocalized branes, where the two constituent branes meet in the overall transverse space and the delocalized branes coincide. We also give the brane worldvolume interpretations for some of such supergravity solutions.