Remarks on a nonlinear parabolic equation

Transactions of the American Mathematical Society

Volumn 352, Issue 2, 2000, Pages 731-751

  Ben Artzi, Matania ^a   Goodman, Jonathan ^b   Levy, Arnon ^b  

^a HEBREW UNIVERSITY OF JERUSALEM   (Israel)

^b NEW YORK UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 22844456168     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9947-99-02336-3     Document Type: Article

References (9)

1. n for a parabolic equation with a damping nonlinear gradient term, in "Progress in Nonlinear Differential Equations", N.G. Lloyd et al., (Eds.), Birkhauser, 1992. MR 93f:35118
2. [B] M. Ben-Artzi, Global Existence and Decay for a Nonlinear Parabolic Equation, Nonlinear Analysis TMA 19 (1992), 763-768. MR 931:35066
3. d,d ≥ 2, J. Funct. Anal. 144 (1997), 301-324. MR 97m:35118
4. [F] A. Friedman, "Partial Differential Equations of Parabolic Type", Prentice-Hall, 1964. MR 31:6062
5. [GT] D. Gilbarg and N.S. Trudinger, "Elliptic Partial Differential Equations of Second Order", Springer-Verlag, 1977. MR 57:13109
6. [PW] M. Protter and H. Weinberger, "Maximum Principles in Differential Equations", PrenticeHall, 1967. MR 36:2935
7. [Sh] E. Shamir, private communication.
8. [So] P. Souplet, Resultats d' explosion en temps fini pour une equation de la chaleur non linéaire, C.R.A.S. Paris, 321 Serie I, (1995), 721-726. MR 96h:35093
9. [SW] P. Souplet and F.B. Weissler, Poincaré's inequality and global solutions of a nonlinear parabolic equation, Annales Inst. H. Poincaré - Anal. Nonlin. 16 (1999), 337-373.