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MR1641081 35K55 (35B05)
Pinsky, Ross G. Finite time blow-up for the inhomogeneous equation $u\sb t=\Delta u+a(x)u\sp p+\lambda\phi$ in ${\bf R}\sp d$. Proc. Amer. Math. Soc. 127 (1999), no. 11, 3319–3327.
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