no. 5
Remarks on the large time behaviour of a nonlinear diffusion equation
Annales de l'I.H.P. Analyse non linéaire, Tome 4 (1987) no. 5, pp. 423-452. 
@article{AIHPC_1987__4_5_423_0,
     author = {Kavian, Otared},
     title = {Remarks on the large time behaviour of a nonlinear diffusion equation},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {423--452},
     publisher = {Gauthier-Villars},
     volume = {4},
     number = {5},
     year = {1987},
     zbl = {0653.35036},
     mrnumber = {921547},
     language = {en},
     url = {http://www.numdam.org/item/AIHPC_1987__4_5_423_0/}
}
TY  - JOUR
AU  - Kavian, Otared
TI  - Remarks on the large time behaviour of a nonlinear diffusion equation
JO  - Annales de l'I.H.P. Analyse non linéaire
PY  - 1987
DA  - 1987///
SP  - 423
EP  - 452
VL  - 4
IS  - 5
PB  - Gauthier-Villars
UR  - http://www.numdam.org/item/AIHPC_1987__4_5_423_0/
UR  - https://zbmath.org/?q=an%3A0653.35036
UR  - https://www.ams.org/mathscinet-getitem?mr=921547
LA  - en
ID  - AIHPC_1987__4_5_423_0
ER  - 
Kavian, Otared. Remarks on the large time behaviour of a nonlinear diffusion equation. Annales de l'I.H.P. Analyse non linéaire, Tome 4 (1987) no. 5, pp. 423-452. http://www.numdam.org/item/AIHPC_1987__4_5_423_0/

[1] D.G. Aronson and H.F. Weingerger, Muldimensional Nonlinear Diffusion Arising in Population genetics, Advances in Math., Vol. 30, 1978, pp. 33-76. | MR 511740 | Zbl 0407.92014

[2] Th. Cazenave and P.L. Lions, Solutions globales de l'équation de la chaleur semi-linéaires, Comm. in P.D.E. Vol. 9, (10), 1984, pp. 955-978. | MR 755928 | Zbl 0555.35067

[3] M. Escobedo and O. Kavian, Variational Problems Related to Self-Similar Solutions of the Heat equation, J. of Nonlinear Analysis, Theory, Methods and Appl. (to appear). | MR 913672 | Zbl 0639.35038

[4] M. Escobedo and O. Kavian, Asymptotic Behaviour of Positive Solutions of a Non-linear Heat Equation (to appear). | Zbl 0666.35046

[5] M. Escobedo, O. Kavian and H. Matano, in preparation.

[6] H. Fujita, On the Blowing-Up of Solutions of the Cauchy Problem for ut=Δu+u1+α, J. Fac. Sci. Univ. of Tokyo, Sect I, Vol. 13, 1966, pp. 109-124. | MR 214914 | Zbl 0163.34002

[7] Y. Giga, A Remark on a priori Bounds for Global Solutions of a Semi-Linear Heat Equation, Preprint.

[8] A. Haraux and F.B. Weissler Non-Uniqueness for a Semi-Linear Initial Value Problem, Indiana Univ. Math. J., vol 31, n° 2, 1982, pp. 167-189. | MR 648169 | Zbl 0465.35049

[9] K. Hayakawa, On Non-Existence of Global Solutions of Some Semi-Linear Parabolic Equations, Proc. Japan Acad., Vol. 49, 1973, pp. 503-505. | MR 338569 | Zbl 0281.35039

[10] K. Kobayashi, T. Sirao et H. Tanaka, On the Growing up Problem for Semi-Linear Heat Equations, J. Math. Soc. Japan, Vol. 29, 1977, pp. 407-424. | MR 450783 | Zbl 0353.35057

[11] L.E. Payne and D.H. Sattinger, Saddle Points and Instability of Non-linear Hyperbolic Equations, Israël J. of Math., vol. 22, n° 3-4, 1975, pp. 273-303. | MR 402291 | Zbl 0317.35059

[12] D.H. Sattinger, On Global Solution of Nonlinear Hyperbolic Equations, Arch. Rat. Mech. and Analysis, Vol. 30, 1968, pp. 148-172. | MR 227616 | Zbl 0159.39102

[13] F.B. Weissler, Existence and Non-Existence of Global Solutions for a Semi-Linear Heat Equation, Israël J. of Math., Vol. 38, n° 1-2, 1981, pp. 29-39. | MR 599472 | Zbl 0476.35043

[14] F.B. Weissler, Rapidly Decaying Solutions of an O.D.E. with Application to Semi-linear Parabolic P.D.E.'s. (to appear).

[15] C.M. Dafermos, Asymptotic Behavior of Solutions of Evolution Equations in Non-linear Evolution Equations, M. G. CRANDALL Ed., pp. 103-123, Academic Press, New York, 1978. | MR 513814 | Zbl 0499.35015