The Behavior of the Life Span for Solutions tout=Δu+a(x)upinRd

Journal of Differential Equations

Volumn 147, Issue 1, 1998, Pages 30-57

  Pinsky, Ross G ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

Nonlinear reaction diffusion equation; life pan of solution; blow up

Indexed keywords

EID: 0008910059     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1998.3438     Document Type: Article

References (9)

1. Aronson D. J., Weinberger H. F. Multidimensional nonlinear diffusion arising in population genetics. Adv. Math. 30:1978;33-76.
2. Bandle C., Levine H. A. On the existence and nonexistence of global solutions of reaction-diffusion equations in sectorial domains. Trans. Amer. Math. Soc. 316:1989;595-622.
3. 1+α. J. Fac. Sci. Univ. Tokyo Sect. IA Math. 13:1966;109-124.
4. Gui C., Wang X. Life span of solutions of the Cauchy problem for a semilinear heat equation. J. Differential Equations. 115:1995;166-172.
5. Kobayashi K., Sirao T., Tanaka H. On the blowing up problem for semilinear heat equations. J. Math. Soc. Japan. 29:1977;407-424.
6. Lee T. Y., Ni W. M. Global existence, large time behavior and life span of solutions of a semilinear parabolic Cauchy problem. Trans. Amer. Math. Soc. 333:1992;365-378.
7. Levine H. A., Meier P. The value of the critical exponent for reaction-diffusion equations in cones. Arch. Rational Mech. Anal. 109:1990;73-80.
8. Pazy A. Semigroups of Linear Operators and Applications to Partial Differential Equations. 1983;Springer-Verlag, Berlin/New York.
9. d. J. Differential Equations. 133:1997;152-177.