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Hölmgren non-uniqueness for nonlinear problems. (Non unicité de Hölmgren pour des problèmes non linéaires.) (French) Zbl 0884.35003
Simple nonlinear systems are given for which the Cauchy problem has no unique \(C^\infty\) solution.
MSC:
35A05 General existence and uniqueness theorems (PDE) (MSC2000)
35F25 Initial value problems for nonlinear first-order PDEs
Keywords:
Cauchy problem
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