Impulsive quenching for degenerate parabolic equations

Journal of Mathematical Analysis and Applications

Volumn 202, Issue 2, 1996, Pages 450-464

  Chan, C Y ^a   Kong, P C ^b  

^a UNIVERSITY OF LOUISIANA AT LAFAYETTE   (United States)

^b Carson Newman College   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030242161     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1996.0326     Document Type: Article

References (10)

1. 1. C. Y. Chan and H. G. Kaper, Quenching for semilinear singular parabolic problems, SIAM J. Math. Anal. 20 (1989), 558-566.
2. 2. C. Y. Chan, L. Ke, and A. S. Vatsala, Impulsive quenching for reaction-diffusion equations, Nonlinear Anal. 22 (1994), 1323-1328.
3. 3. C. Y. Chan and P. C. Kong, Quenching for degenerate semilinear parabolic equations, Appl. Anal. 54 (1994), 17-25.
4. 4. C. Y. Chan and P. C. Kong, Solution profiles beyond quenching for degenerate reaction-diffusion problems, Nonlinear Anal. 24 (1995), 1755-1763.
5. 5. C. Y. Chan and P. C. Kong, Channel flow of a viscous fluid in the boundary layer, Quart. Appl. Math., in press.
6. 6. M. S. Floater, Blow-up at the boundary for degenerate semilinear parabolic equations, Arch. Rational Mech. Anal. 114 (1991), 57-77.
7. 7. G. S. Ladde, V. Lakshmikantham, and A. S. Vatsala, "Monotone Iterative Techniques for Nonlinear Differential Equations," Pitman Advanced Publishing Program, Boston, 1985.
8. 8. O. A. Ladyženskaja, V. A. Solonnikov, and N. N. Ural'ceva, "Linear and Quasilinear Equations of Parabolic Type," Amer. Math. Soc., Providence, RI, 1968.
9. 9. V. Lakshmikantham, D. D. Bainov, and P. S. Simeonov, "Theory of Impulsive Differential Equations," World Scientific, Teaneck, NJ, 1989.
10. 10. C. V. Pao, "Nonlinear Parabolic and Elliptic Equations," Plenum, New York, 1992.