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Such problems may be used to describe the spreading of a biological or chemical species, with the free boundaries representing the expanding fronts. When $\\alpha=0$, the problem was recently investigated by \\cite{DuLin, DuLou}. In this paper we consider the case $\\alpha>0$. In this case shrinking (i.e. $h(t)-g(t)\\to 0$) may happen, which is quite different from the case $\\alpha=0$. 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Such problems may be used to describe the spreading of a biological or chemical species, with the free boundaries representing the expanding fronts. When $\\alpha=0$, the problem was recently investigated by \\cite{DuLin, DuLou}. In this paper we consider the case $\\alpha>0$. In this case shrinking (i.e. $h(t)-g(t)\\to 0$) may happen, which is quite different from the case $\\alpha=0$. 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