Very singular solutions to a nonlinear parabolic equation with absorption;« Solutions trés singuliéres » d'une équation parabolique non linéaire avec absorption

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

Volumn 328, Issue 3, 1999, Pages 215-220

  Benachour, Said ^a   Laurençot, Philippe ^a  

^a UNIVERSITÉ HENRI POINCARÉ NANCY 1   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033075955     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(99)80124-4     Document Type: Article

References (9)

1. [1] Benachour S., Laurençot Ph., Global solutions to viscous Hamilton-Jacobi equations with irregular initial data, prépublication de l'Institut Élie-Cartan, Nancy, 1998.
2. [2] Benachour S., Laurençot Ph., Very singular solutions to a nonlinear parabolic equation with absorption, (en préparation).
3. t - △u + |▽u| = 0, (manuscrit).
4. [4] Brézis H., Friedman A., Nonlinear parabolic equations involving measures as initial conditions, J. Math. Pures Appl. 62 (1983) 73-97.
5. [5] Brézis H., Peletier L.A., Terman D., A very singular solution of the heat equation with absorption, Arch. Rational Mech. Anal. 95 (1986) 185-209.
6. [6] Kamin S., Peletier L.A., Singular solutions of the heat equation with absorption, Proc. Amer. Math. Soc. 95 (1985) 205-210.
7. [7] Kamin S., Vazquez J.L., Singular solutions of some nonlinear parabolic equations, J. Anal. Math. 59 (1992) 51-74.
8. [8] Oswald L., Isolated positive singularities for a non linear heat equation, Houston J. Math. 14 (1988) 543-572.
9. [9] Vazquez J.L., Asymptotic behaviour of nonlinear parabolic equations. Anomalous exponents, in: Degenerate Diffusions, W.M. Ni, L.A. Peletier, J.L. Vazquez (Eds.), IMA Vol. Math. Appl. 47, Springer, New York, 1993, pp. 215-228.