Asymptotic behaviour of semilinear parabolic problems;Comportement asymptotique des solutions d'équations paraboliques semi-linéaires

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 325, Issue 12, 1997, Pages 1273-1278

  Herraiz, Luis A ^a  

^a UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031498085     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(97)82352-X     Document Type: Article

References (10)

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3. [3] Brézis H., Peletier L. A. and Terman D., 1986. A very singular solution of the heat equation with absorption. Arch. Rat. Mech. Anal. 95, pp. 185-209.
4. [4] Escobedo M., Kavian O. and Matano H., 1995. Large time behavior of solutions of a dissipative semilinear heat equation. Commun. Partial Differ. Eq., 20, pp. 1427-1452.
5. [5] Friedman A., 1983. Partial differential equations of parabolic type. Robert E. Krieger Pub. Co.
6. [6] Herraiz L. A., 1997. Asymptotic Behaviour of Solutions of some Semilinear Parabolic Problems, to appear in Ann. Inst. Henri-Poincaré.
7. N. J. Differ. Eq., 53, pp. 258-276.
8. [8] Herrero M. A. and Velázquez J. J. L., 1993. Blow-up behaviour of one-dimensional semilinear parabolic equations. Ann. Inst. Henri-Poincaré, Vol. 10, 2, pp. 131-189.
9. [9] Kamin S. and Peletier L. A., 1985. Large time behaviour of solutions of the heat equation with absorption. Ann. Scu. Normale Sup. di Pisa, XII, 3, pp. 393-408.
10. [10] Kamin S. and Ughi M., 1987. On the behaviour as t → ∞ of the solutions of the Cauchy problem for certain nonlinear parabolic equations. J. Math. Anal. Appl., 128, pp. 456-469.