Condition Is Not sufficient for uniqueness in the cauchy problem

Condition Is Not sufficient for uniqueness in the cauchy problem

We show, with a non-uniqueness example, that the condition of Nirenberg and Trevess cannot replace the principal normality in the hypotheses of the uniqueness theorem of Hörmander. We give also a compact uniqueness result modeled on a similar one due to Nirenberg.

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Veröffentlicht in:Communications in Partial Differential Equations 1995-01, Vol.20 (11-12), p.2113-2128
Hauptverfasser: Colombini, Ferruccio, Del Santo, Daniele
Format: Artikel
Sprache:eng
Schlagworte:
CAUCHY PROBLEM
MATHEMATICS, COMPUTERS, INFORMATION SCIENCE, MANAGEMENT, LAW, MISCELLANEOUS
PARTIAL DIFFERENTIAL EQUATIONS
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Zusammenfassung:We show, with a non-uniqueness example, that the condition of Nirenberg and Trevess cannot replace the principal normality in the hypotheses of the uniqueness theorem of Hörmander. We give also a compact uniqueness result modeled on a similar one due to Nirenberg.
ISSN:0360-5302
1532-4133
DOI:10.1080/03605309508821164