@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}, publisher = {Elsevier}, volume = {20}, number = {2}, year = {2003}, doi = {10.1016/S0294-1449(02)00003-3}, mrnumber = {1961515}, zbl = {1029.35106}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/S0294-1449(02)00003-3/} }
TY - JOUR AU - Souplet, Philippe AU - Weissler, Fred B TI - Regular self-similar solutions of the nonlinear heat equation with initial data above the singular steady state JO - Annales de l'I.H.P. Analyse non linéaire PY - 2003 SP - 213 EP - 235 VL - 20 IS - 2 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/S0294-1449(02)00003-3/ DO - 10.1016/S0294-1449(02)00003-3 LA - en ID - AIHPC_2003__20_2_213_0 ER -
%0 Journal Article %A Souplet, Philippe %A Weissler, Fred B %T Regular self-similar solutions of the nonlinear heat equation with initial data above the singular steady state %J Annales de l'I.H.P. Analyse non linéaire %D 2003 %P 213-235 %V 20 %N 2 %I Elsevier %U http://archive.numdam.org/articles/10.1016/S0294-1449(02)00003-3/ %R 10.1016/S0294-1449(02)00003-3 %G en %F AIHPC_2003__20_2_213_0
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, Volume 20 (2003) no. 2, pp. 213-235. doi : 10.1016/S0294-1449(02)00003-3. http://archive.numdam.org/articles/10.1016/S0294-1449(02)00003-3/
[1] Asymptotically self-similar global solutions of the nonlinear Schrödinger and heat equations, Math. Z. 228 (1998) 83-120. | MR | Zbl
, ,[2] Structure of positive radial solutions to the Haraux-Weissler equation, Nonlinear Anal. TMA 33 (1998) 51-69. | MR | Zbl
, ,[3] Continuation of blowup solutions of nonlinear heat equations in several space dimensions, Comm. Pure Appl. Math. 50 (1997) 1-67. | MR | Zbl
, ,[4] Non-uniqueness for a semilinear initial value problem, Indiana Univ. Math. J. 31 (1982) 167-189. | MR | Zbl
, ,[5] Quasilinear Dirichlet problems driven by positive sources, Arch. Rat. Mech. Anal. 49 (1973) 241-269. | MR | Zbl
, ,[6] On the equation Δu+1/2, Arch. Rat. Mech. Anal. 94 (1986) 83-99. | Zbl
, , ,[7] Domain of existence and blowup for the exponential reaction-diffusion equation, Indiana Univ. Math. J. 48 (1999) 677-709. | MR | Zbl
,[8] Asymptotic analysis of an ordinary differential equation and non-uniqueness for a semilinear partial differential equation, Arch. Rat. Mech. Anal. 91 (1986) 231-245. | MR | Zbl
,[9] Lp-energy and blow-up for a semilinear heat equation, Proc. Symp. Pure Math. Part II 45 (1986) 545-551. | MR | Zbl
,[10] Uniqueness of rapidly decaying solutions of the Haraux-Weissler equation, J. Differential Equations 127 (1996) 561-570. | MR | Zbl
,Cited by Sources: