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MR806004 (87h:35164b) 35K55 (34B15 35B40 35J60)
Weissler, Fred B. Rapidly decaying solutions of an ordinary differential equation with applications to semilinear elliptic and parabolic partial differential equations. Arch. Rational Mech. Anal. 91 (1985), no. 3, 247–266.
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