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Zbl 1172.35433
Zheng, Sining; Song, Xianfa
(Zheng, Si-Ning; Song, Xian-Fa)
Quenching rates for heat equations with coupled singular nonlinear boundary flux. (English)
[J] Sci. China, Ser. A 51, No. 9, 1631-1643 (2008). ISSN 1006-9283; ISSN 1862-2763/e

The authors study quenching phenomena for heat equations with coupled singular nonlinear boundary fluxes and positive initial data. They give a criterion to identify the simultaneous and non-simultaneous quenching and obtained three kinds of simultaneous quenching rates for different nonlinear exponent regions and appropriate initial data.
[Mohammed Bouchekif (Tlemcen)]

MSC 2000:: *35K60 (Nonlinear) BVP for (non)linear parabolic equations
35K55 Nonlinear parabolic equations
35B40 Asymptotic behavior of solutions of PDE
35B05 General behavior of solutions of PDE

Keywords: simultaneous quenching; non-simultaneous quenching; positive initial data

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