Complete blow up and global behaviour of solutions of ut - △u = g(u)

Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire

Volumn 15, Issue 6, 1998, Pages 687-723

  Martel, Yvan ^a  

^a SORBONNE UNIVERSITÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0347660483     PISSN: 02941449     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0294-1449(99)80002-X     Document Type: Article

References (9)

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3. t - △u = g(u) revisited, Adv. Diff. Eq., Vol. 1, 1996, pp. 73-90.
4. u, Bull. Amer. Math. Soc., Vol. 75, 1969, pp. 132-135.
5. V. A. GALAKTIONOV and J. L. VAZQUEZ, Continuation of blow up solutions of nonlinear heat equations in several space dimensions, to appear.
6. A. A. LACEY and D. E. TZANETIS, Global, unbounded solutions to a parabolic equation, J. Diff. Eq., Vol. 101, 1993, pp. 80-102.
7. Y. MARTEL, Uniqueness of weak extremal solutions of nonlinear elliptic problems, to appear in Houston Journal of Math., 1997.
8. P. MIRONESCU and V. D. RADULESCU, The study of a bifurcation problem associated to an asymptotically linear function, Nonlinear Analysis TMA, Vol. 26, 1996, pp. 857-875.
9. W.-M. NI, P. E. SACKS and J. TAVANTZIS, On the asymptotic behavior of solutions of certain quasilinear parabolic equations, J. Diff. Eq., Vol. 54, 1984, pp. 97-120.