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Advances in quenching. (English) Zbl 0792.35017

Nonlinear diffusion equations and their equilibrium states, Proc. 3rd Conf., Gregynog/UK 1989, Prog. Nonlinear Differ. Equ. Appl. 7, 319-346 (1992).
[For the entire collection see Zbl 0745.00053.]
We survey the literature on the so called quenching problem since 1985, when the last survey on the subject appeared [H. A. Levine, Proc. Conf. Arlington 1984, North Holland Math. Stud. 110, 275-286 (1985; Zbl 0581.35037)]. We also present some open problems which have arisen in consequence of the results of the recent literature.

MSC:

35B40 Asymptotic behavior of solutions to PDEs
35K55 Nonlinear parabolic equations
35L70 Second-order nonlinear hyperbolic equations