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Quenching for Degenerate Semilinear Parabolic Equations with Time Delay(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2006年01期
Page:
7-13
Research Field:
数学
Publishing date:

Info

Title:
Quenching for Degenerate Semilinear Parabolic Equations with Time Delay
Author(s):
Chen Youpeng 1; 2
(1. Department ofMathematics, Yancheng Normal Institute, Yancheng 224002, China)
(2. School ofMathematics and Computer Science, Nanjing Normal University, Nanjing 210097, China)
Keywords:
quenching p roblem;  degenerate semilinear parabolic equation;  time delay;  critical length;  a simp le estimate
PACS:
O175.26
DOI:
-
Abstract:
This paper dealswith the quenching p roblem for degenerate semilinear parabolic equationswith time delay. By using regularizationmethod and upper and lower solutions’ technique, we obtain the existence of a unique classical so2 lution to the above p roblem and p rove that there exists a critical length a *such that the solution u of the above p roblem exists globally for a < a *and quenches in finite time for a > a * . Furthermore, we also get a simp le estimate on the criti2 cal length a *.

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Last Update: 2013-05-05