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MR1066761 (92g:35088) 35K55 (35D05)
DiBenedetto, E.; Herrero, M. A. Nonnegative solutions of the evolution $p$-Laplacian equation. Initial traces and Cauchy problem when $1<p<2$. Arch. Rational Mech. Anal. 111 (1990), no. 3, 225--290.
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