@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}, mrnumber = {921547}, zbl = {0653.35036}, 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 SP - 423 EP - 452 VL - 4 IS - 5 PB - Gauthier-Villars UR - http://www.numdam.org/item/AIHPC_1987__4_5_423_0/ 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, Volume 4 (1987) no. 5, pp. 423-452. http://www.numdam.org/item/AIHPC_1987__4_5_423_0/
[1] Muldimensional Nonlinear Diffusion Arising in Population genetics, Advances in Math., Vol. 30, 1978, pp. 33-76. | MR | Zbl
and ,[2] Solutions globales de l'équation de la chaleur semi-linéaires, Comm. in P.D.E. Vol. 9, (10), 1984, pp. 955-978. | MR | Zbl
and ,[3] Variational Problems Related to Self-Similar Solutions of the Heat equation, J. of Nonlinear Analysis, Theory, Methods and Appl. (to appear). | MR | Zbl
and ,[4] Asymptotic Behaviour of Positive Solutions of a Non-linear Heat Equation (to appear). | Zbl
and ,[5]
, and , in preparation.[6] On the Blowing-Up of Solutions of the Cauchy Problem for , J. Fac. Sci. Univ. of Tokyo, Sect I, Vol. 13, 1966, pp. 109-124. | MR | Zbl
,[7] A Remark on a priori Bounds for Global Solutions of a Semi-Linear Heat Equation, Preprint.
,[8] Non-Uniqueness for a Semi-Linear Initial Value Problem, Indiana Univ. Math. J., vol 31, n° 2, 1982, pp. 167-189. | MR | Zbl
and[9] On Non-Existence of Global Solutions of Some Semi-Linear Parabolic Equations, Proc. Japan Acad., Vol. 49, 1973, pp. 503-505. | MR | Zbl
,[10] On the Growing up Problem for Semi-Linear Heat Equations, J. Math. Soc. Japan, Vol. 29, 1977, pp. 407-424. | MR | Zbl
, et ,[11] Saddle Points and Instability of Non-linear Hyperbolic Equations, Israël J. of Math., vol. 22, n° 3-4, 1975, pp. 273-303. | MR | Zbl
and ,[12] On Global Solution of Nonlinear Hyperbolic Equations, Arch. Rat. Mech. and Analysis, Vol. 30, 1968, pp. 148-172. | MR | Zbl
,[13] 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 | Zbl
,[14] Rapidly Decaying Solutions of an O.D.E. with Application to Semi-linear Parabolic P.D.E.'s. (to appear).
,[15] 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 | Zbl
,