We report on ac-susceptibility and heat-capacity measurements of the superconductor PrOs4Sb12 in magnetic fields. The resulting phase diagram reveals two distinguishable superconducting phases with transitions at the upper critical field Bc2 and a slightly lower field B$∗$c2. Between B$∗$c2 and 0.7\texttimes{}B$∗$c2 the ac-susceptibility data shows a region with enhanced pinning properties characterized by an extended peak effect. The heat-capacity data reveal an extremely strongly coupled superconductivity with a considerable contribution of heavy quasiparticles. This unusual strong-coupling behavior originates in a sharp increase of the superfluid density at Tc. The decrease of the discontinuity of the specific heat at Tc and the corresponding pronounced increase of the Ginzburg-Landau-Maki parameter $̨appa$2 indicate that the superconductivity is most probably not Pauli limited in a large temperature range.
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