| Optimal condition for non-simultaneous blow-up in a reaction-diffusion system P Souplet, S Tayachi Journal of the Mathematical Society of Japan 56 (2), 571-584, 2004 | 70 | 2004 |
| Asymptotically self-similar global solutions of a semilinear parabolic equation with a nonlinear gradient term S Snoussi, S Tayachi, FB Weissler Proceedings of the Royal Society of Edinburgh Section A: Mathematics 129 (6 …, 1999 | 60 | 1999 |
| Exact self-similar blow-up of solutions of a semilinear parabolic equation with a nonlinear gradient term P Souplet, S Tayachi, FB Weissler Indiana University Mathematics Journal, 655-682, 1996 | 60 | 1996 |
| Well-posedness, global existence and large time behavior for Hardy–Hénon parabolic equations BB Slimene, S Tayachi, FB Weissler Nonlinear Analysis: Theory, Methods & Applications 152, 116-148, 2017 | 59 | 2017 |
| Asymptotically self-similar global solutions of a general semilinear heat equation S Snoussi, S Tayachi, FB Weissler Mathematische Annalen 321 (1), 131-155, 2001 | 56 | 2001 |
| Local well-posedness for the inhomogeneous nonlinear Schrödinger equation L Aloui, S Tayachi Discrete Contin. Dyn. Syst 41 (11), 5409-5437, 2021 | 51 | 2021 |
| Global existence, asymptotic behavior and self-similar solutions for a class of semilinear parabolic systems S Snoussi, S Tayachi Nonlinear Analysis: Theory, Methods & Applications 48 (1), 13-35, 2002 | 40 | 2002 |
| Blowup rates for nonlinear heat equations with gradient terms and for parabolic inequalities P Souplet, S Tayachi Colloquium Mathematicae 88 (1), 135-154, 2001 | 38 | 2001 |
| Existence of a stable blow-up profile for the nonlinear heat equation with a critical power nonlinear gradient term S Tayachi, H Zaag Transactions of the American Mathematical Society 371 (8), 5899-5972, 2019 | 36 | 2019 |
| Uniqueness and non-uniqueness of solutions for critical Hardy-Hénon parabolic equations S Tayachi Journal of Mathematical Analysis and Applications 488 (1), 123976, 2020 | 34 | 2020 |
| Local well-posedness and global existence for the biharmonic heat equation with exponential nonlinearity M Majdoub, S Otsmane, S Tayachi | 26 | 2018 |
| Unconditional uniqueness and non-uniqueness for Hardy–Hénon parabolic equations N Chikami, M Ikeda, K Taniguchi, S Tayachi Mathematische Annalen 390 (3), 3765-3825, 2024 | 21 | 2024 |
| Asymptotic self-similar behavior of solutions for a semilinear parabolic system S Snoussi, S Tayachi Communications in Contemporary Mathematics 3 (03), 363-392, 2001 | 21 | 2001 |
| Forward self-similar solutions of a semilinear parabolic equation with a nonlinear gradient term S Tayachi | 21 | 1996 |
| Improved conditions for single-point blow-up in reaction–diffusion systems N Mahmoudi, P Souplet, S Tayachi Journal of Differential Equations 259 (5), 1898-1932, 2015 | 19 | 2015 |
| The nonlinear heat equation with high order mixed derivatives of the Dirac delta as initial values S Tayachi, F Weissler Transactions of the American Mathematical Society 366 (1), 505-530, 2014 | 19 | 2014 |
| Well-posedness, global existence and decay estimates for the heat equation with general power-exponential nonlinearities M Majdoub, S Tayachi Proceedings of the International Congress of Mathematicians (ICM 2018) (In 4 …, 2018 | 16 | 2018 |
| Existence of a stable blow-up profile for the nonlinear heat equation with a critical power nonlinear gradient term S Tayachi, H Zaag arXiv preprint arXiv:1506.08306, 2015 | 16 | 2015 |
| Global existence and decay estimates for the heat equation with exponential nonlinearity M Majdoub, S Tayachi Funkcialaj Ekvacioj 64 (2), 237-259, 2021 | 13 | 2021 |
| Large time behavior of solutions for parabolic equations with nonlinear gradient terms S Snoussi, S Tayachi Hokkaido Mathematical Journal 36 (2), 311-344, 2007 | 13 | 2007 |
