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

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References | Similar Articles | Additional Information

**[1]**J. Bebernes and D. Eberly,*A description of self-similar blow-up for dimensions*, Ann. Inst. Henri Poincaré**5**, 1-21 (1988) MR**936887****[2]**H. Brezis, L. A. Peletier, and D. Terman,*A very singular solution of the heat equation with absorption*, Arch. Rational Mech. Anal.**95**, 185-209 (1986) MR**853963****[3]**M. Fila and J. Hulshof,*A note on the quenching rate*, Proc. Amer. Math. Soc., to appear MR**1055772****[4]**M. Fila, J. Hulshof, and P. Quittner,*The quenching problem on N-dimensional ball*, preprint MR**1167839****[5]**A. Friedman, J. Friedman, and B. McLeod,*Concavity of solutions of nonlinear ordinary differential equations*, J. Math. Anal. Appl.**131**, 486-500 (1988) MR**935283****[6]**A. Friedman and B. McLeod,*Blow-up of positive solutions of semilinear heat equations*, Indiana Univ. Math. J.**34**, 425-447 (1985) MR**783924****[7]**Y. Giga and R. V. Kohn,*Asymptotically self-similar blow-up of semilinear heat equations*, Comm. Pure Appl. Math.**38**, 297-319 (1985) MR**784476****[8]**J. Guo,*On the quenching behavior of the solution of a semilinear parabolic equation*, J. Math. Anal. Appl.**151**, 58-79 (1990) MR**1069448****[9]**J. Guo,*On the semilinear elliptic equation**in*, IMA Preprint Series # 531 (June 1989), Minnesota**[10]**H. G. Kaper and M. K. Kwong,*Concavity and monotonicity properties of solutions of Emden-Fowler equations*, Differential Integral Equations**1**, 327-340 (1988) MR**929920****[11]**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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Additional Information

DOI:
https://doi.org/10.1090/qam/1134750

Article copyright:
© Copyright 1991
American Mathematical Society