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MR1873785 (2002i:35080) 35K55 (35B05 35B40)
Benachour, Said; Laurençot, Philippe; Schmitt, Didier Extinction and decay estimates for viscous Hamilton-Jacobi equations in $\Bbb R\sp N$. Proc. Amer. Math. Soc. 130 (2002), no. 4, 1103–1111 (electronic).
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