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MR1462990 (98h:35246) 35R35 (76N10 76S05 80A20)
Vazquez, J. L. The free boundary problem for the heat equation with fixed gradient condition. Free boundary problems, theory and applications (Zakopane, 1995), 277--302, Pitman Res. Notes Math. Ser., 363, Longman, Harlow, 1996.
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