A note on the quenching rate
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- by Marek Fila and Josephus Hulshof PDF
- Proc. Amer. Math. Soc. 112 (1991), 473-477 Request permission
Abstract:
We examine the quenching rate near a quenching point of a solution of a semilinear heat equation with singular powerlike absorption. A selfcontained result on similarity profiles allows us to improve a previous quenching theorem by Guo.References
- Avner Friedman, Joel Friedman, and Bryce McLeod, Concavity of solutions of nonlinear ordinary differential equations, J. Math. Anal. Appl. 131 (1988), no. 2, 486–500. MR 935283, DOI 10.1016/0022-247X(88)90220-X
- Yoshikazu Giga and Robert V. Kohn, Asymptotically self-similar blow-up of semilinear heat equations, Comm. Pure Appl. Math. 38 (1985), no. 3, 297–319. MR 784476, DOI 10.1002/cpa.3160380304 J. Guo, On the quenching behavior of the solution of a semilinear parabolic equations, IMA preprint 447, 1988. —, On the semilinear elliptic equation $\Delta w - \frac {1}{2}y\nabla w + \lambda w - {w^{ - \beta }} = 0$ in ${{\mathbf {R}}^n}$, unpublished.
- Hideo Kawarada, On solutions of initial-boundary problem for $u_{t}=u_{xx}+1/(1-u)$, Publ. Res. Inst. Math. Sci. 10 (1974/75), no. 3, 729–736. MR 0385328, DOI 10.2977/prims/1195191889
Additional Information
- © Copyright 1991 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 112 (1991), 473-477
- MSC: Primary 35K60; Secondary 35B05
- DOI: https://doi.org/10.1090/S0002-9939-1991-1055772-7
- MathSciNet review: 1055772