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Online ISSN 1552-4485; Print ISSN 0033-569X
On the quenching rate estimate
Author:
Jong-Shenq Guo
Journal:
Quart. Appl. Math. 49 (1991), 747-752
MSC:
Primary 35K60; Secondary 35B50
DOI:
https://doi.org/10.1090/qam/1134750
MathSciNet review:
MR1134750
Full-text PDF Free Access
References | Similar Articles | Additional Information
- J. Bebernes and D. Eberly, A description of self-similar blow-up for dimensions $n\geq 3$, Ann. Inst. H. Poincaré Anal. Non Linéaire 5 (1988), no. 1, 1–21 (English, with French summary). MR 936887
- H. Brezis, L. A. Peletier, and D. Terman, A very singular solution of the heat equation with absorption, Arch. Rational Mech. Anal. 95 (1986), no. 3, 185–209. MR 853963, DOI https://doi.org/10.1007/BF00251357
- Marek Fila and Josephus Hulshof, A note on the quenching rate, Proc. Amer. Math. Soc. 112 (1991), no. 2, 473–477. MR 1055772, DOI https://doi.org/10.1090/S0002-9939-1991-1055772-7
- Marek Fila, Josephus Hulshof, and Pavol Quittner, The quenching problem on the $N$-dimensional ball, Nonlinear diffusion equations and their equilibrium states, 3 (Gregynog, 1989) Progr. Nonlinear Differential Equations Appl., vol. 7, Birkhäuser Boston, Boston, MA, 1992, pp. 183–196. MR 1167839, DOI https://doi.org/10.1007/978-1-4612-0393-3_14
- 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 https://doi.org/10.1016/0022-247X%2888%2990220-X
- Avner Friedman and Bryce McLeod, Blow-up of positive solutions of semilinear heat equations, Indiana Univ. Math. J. 34 (1985), no. 2, 425–447. MR 783924, DOI https://doi.org/10.1512/iumj.1985.34.34025
- 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 https://doi.org/10.1002/cpa.3160380304
- Jong-Shenq Guo, On the quenching behavior of the solution of a semilinear parabolic equation, J. Math. Anal. Appl. 151 (1990), no. 1, 58–79. MR 1069448, DOI https://doi.org/10.1016/0022-247X%2890%2990243-9 J. Guo, On the semilinear elliptic equation $\Delta w - \frac {1}{2}y.\nabla w + \lambda w - {w^{ - \beta }} = 0$ in $R^{n}$ , IMA Preprint Series # 531 (June 1989), Minnesota
- Hans G. Kaper and Man Kam Kwong, Concavity and monotonicity properties of solutions of Emden-Fowler equations, Differential Integral Equations 1 (1988), no. 3, 327–340. MR 929920 H. A. Levine, Advances in quenching, Proceedings of the International Conference on Reaction-Diffusion Equations and Their Equilibrium States, Gregynog, Wales, August 1989
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Article copyright:
© Copyright 1991
American Mathematical Society