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We report on a non-conventional temperature behavior of the upper criticalfield ($H_{c2}(T)$) which is found for the Boson-Fermion (BF) model. We showthat the BF model properly reproduces two crucial features of the experimentaldata obtained for high-$T_c$ superconductors: $H_{c2}(T)$ does not saturate atlow temperatures and has an upward curvature. Moreover, the calculated uppercritical field fits very well the experimental results. This agreement holdsalso for overdoped compounds, where a purely bosonic approach is notapplicable.Comment: 4 pages, 3 figures, revte

Upward curvature of the upper critical field in the boson-fermion model