no. 2
Regular self-similar solutions of the nonlinear heat equation with initial data above the singular steady state
Annales de l'I.H.P. 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'I.H.P. 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'I.H.P. Analyse non linéaire, Tome 20 (2003) no. 2, pp. 213-235. doi: 10.1016/S0294-1449(02)00003-3

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