NONUNIQUENESS OF SOLUTIONS OF A DEGENERATE PARABOLIC EQUATION

被引：43
|
作者：
BERTSCH, M
DALPASSO, R
UGHI, M
机构：
[1] UNIV ROME TOR VERGATA,DEPT MATH,I-00133 ROME,ITALY
[2] CNR,IST APPLICAZ CALCOLO,I-00161 ROME,ITALY
[3] UNIV TRIESTE,FAC ENGN,I-34127 TRIESTE,ITALY
来源：
ANNALI DI MATEMATICA PURA ED APPLICATA | 1992年 / 161卷
关键词：
D O I：
10.1007/BF01759632
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give some results about nonuniqueness of the solutions of the Cauchy problem for a class of nonlinear degenerate parabolic equations arising in several applications in biology and physics. This phenomenon is a truly nonlinear one and occurs because of the degeneracy of the equation at the points where u = 0. For a given set of values of the parameter involved, we prove that there exists a one parameter,family of weak solutions; moreover, restricting the parameter set, nonuniqueness appears even in the class of classical solutions.
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页码：57 / 81
页数：25
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