A criterion for blow-up of solutions to semilinear heat equations
Journal Article
·
· SIAM J. Math. Anal.; (United States)
The author's prove that for the parabolic initial value problem ..mu../sub t/=..delta mu..+deltaf(..mu..) there is a finite time blow-up of the solution, provided /e// is greater than the upper bound to the spectrum of the steady state problem and (f/f') is concave. An upper bound of the blow-up time is given. The proof is based on a comparison with a subsolution to the parabolic initial value problem.
- Research Organization:
- Dept. of Mathematics, Purdue Univ., West Lafayette, IN 47907
- OSTI ID:
- 5732889
- Journal Information:
- SIAM J. Math. Anal.; (United States), Vol. 18:3
- Country of Publication:
- United States
- Language:
- English
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