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MR866049 65N05 (35B40 35K60)
Chen, Yun Gang Asymptotic behaviours of blowing-up solutions for finite difference analogue of $u_t=u_{xx}+u^{1+\alpha}$. J. Fac. Sci. Univ. Tokyo Sect. IA Math. 33 (1986), no. 3, 541–574.
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