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A Non-Uniqueness Result for the Operators with Principal Part \( partial _t^2 {\text{ }} + {\text{ a}}\left( t \right)\partial _x^2 \)

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Part of the book series: Progress in Nonlinear Differential Equations and Their Applications ((PNLDE,volume 1))

Abstract

After the classical theorems of Carleman [3] and the counter-examples of Plis [12] and De Giorgi [6], the question of uniqueness for the non characteristic Cauchy problem has been widely investigated (see Alinhac [1] and Zuily [14] for an extensive bibliography).

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References

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Dedicated to Ennio De Giorgi on his sixtieth birthday

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© 1989 Birkhauser Boston

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Colombini, F., Spagnolo, S. (1989). A Non-Uniqueness Result for the Operators with Principal Part \( partial _t^2 {\text{ }} + {\text{ a}}\left( t \right)\partial _x^2 \) . In: Colombini, F., Marino, A., Modica, L., Spagnolo, S. (eds) Partial Differential Equations and the Calculus of Variations. Progress in Nonlinear Differential Equations and Their Applications, vol 1. Birkhäuser Boston. https://doi.org/10.1007/978-1-4615-9828-2_14

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  • DOI: https://doi.org/10.1007/978-1-4615-9828-2_14

  • Publisher Name: Birkhäuser Boston

  • Print ISBN: 978-1-4615-9830-5

  • Online ISBN: 978-1-4615-9828-2

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