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MR2176707 35K05 (35B40)
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. A solution of the heat equation with a continuum of decay rates. Elliptic and parabolic problems, 135–138, Progr. Nonlinear Differential Equations Appl., 63, Birkhäuser, Basel, 2005.
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