no. 2
Regular self-similar solutions of the nonlinear heat equation with initial data above the singular steady state
Annales de l'Institut Henri Poincaré. C, Analyse non linéaire, Tome 20 (2003) no. 2, pp. 213-235 
@article{AIHPC_2003__20_2_213_0,
     author = {Souplet, Philippe and Weissler, Fred B},
     title = {Regular self-similar solutions of the nonlinear heat equation with initial data above the singular steady state},
     journal = {Annales de l'Institut Henri Poincar\'e. C, Analyse non lin\'eaire},
     pages = {213--235},
     year = {2003},
     publisher = {Elsevier},
     volume = {20},
     number = {2},
     doi = {10.1016/S0294-1449(02)00003-3},
     mrnumber = {1961515},
     zbl = {1029.35106},
     language = {en},
     url = {https://www.numdam.org/articles/10.1016/S0294-1449(02)00003-3/}
}
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Souplet, Philippe; Weissler, Fred B. Regular self-similar solutions of the nonlinear heat equation with initial data above the singular steady state. Annales de l'Institut Henri Poincaré. C, Analyse non linéaire, Tome 20 (2003) no. 2, pp. 213-235. doi: 10.1016/S0294-1449(02)00003-3

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