COUNTEREXAMPLES TO HOLMGREN UNIQUENESS FOR ANALYTIC NONLINEAR CAUCHY-PROBLEMS

被引：13
作者：
METIVIER, G
机构：
[1] IRMAR. U.A. CNRS 305, Université de Rennes I, Rennes Cedex, F-35042, Campus Beaulieu
来源：
INVENTIONES MATHEMATICAE | 1993年 / 112卷 / 01期
关键词：
D O I：
10.1007/BF01232431
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In contrast to Holmgren uniqueness for linear equations and to the similar uniqueness result for first order scalar nonlinear equations, this paper gives elementary examples of analytic nonlinear higher order equations, for which uniqueness of C(infinity) solutions to the non characteristic Cauchy problem fails.
引用
收藏
页码：217 / 222
页数：6
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