The local in-and out-of-phase ac magnetic responseBac′ andBac″ was measured in Bi2Sr2CaCu2O8(BSCCO) single crystals at elevated temperatures using microscopic arrays of Hall sensors. The localBac′ is found, under certain experimental conditions, to attain negative values, i.e. the local induction decreases when external field increases. Such anti-phase behavior is inconsistent with existing models that predict an in-phase variation of the local magnetic induction with applied field over the entire sample. Further, the in-phase componentBac′ as a maximum value in the center of the sample this contradicts the usual expectation of maximum screening in the center. The dissipation peakBac″ is found to be caused by the “collapse” of the geometrical barrier and does not reflect a change in the bulk resistivity. A new model fot the ac response in the presence of geometrical barrier is derived and is shown to describe the measured behavior very well.