Poincaré's inequality and global solutions of a nonlinear parabolic equation
Annales de l'I.H.P. Analyse non linéaire, Tome 16 (1999) no. 3, pp. 335-371. 
@article{AIHPC_1999__16_3_335_0,
     author = {Souplet, Philippe and Weissler, Fred B.},
     title = {Poincar\'e's inequality and global solutions of a nonlinear parabolic equation},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {335--371},
     publisher = {Gauthier-Villars},
     volume = {16},
     number = {3},
     year = {1999},
     mrnumber = {1687278},
     zbl = {0924.35065},
     language = {en},
     url = {http://archive.numdam.org/item/AIHPC_1999__16_3_335_0/}
}
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Souplet, Philippe; Weissler, Fred B. Poincaré's inequality and global solutions of a nonlinear parabolic equation. Annales de l'I.H.P. Analyse non linéaire, Tome 16 (1999) no. 3, pp. 335-371. http://archive.numdam.org/item/AIHPC_1999__16_3_335_0/

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