NONUNIQUENESS OF SOLUTIONS OF A DEGENERATE PARABOLIC EQUATION

被引：44

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.

引用

页码：57 / 81

页数：25

共 17 条

[1] DISCONTINUOUS VISCOSITY SOLUTIONS OF A DEGENERATE PARABOLIC EQUATION [J].