References
Alinhac, S.: Non unicité du problème de Cauchy. Annals of Math.117, 77–108 (1983)
Alinhac, S., Baouendi, M.S.: Construction de solutions nulles et singulières pour des opérateurs de type principal. Seminaire Goulaouic-Schwartz, exposé no 22, Ecole Polytechnique, Paris 1979
Bahouri, H.: Non unicité du problème de Cauchy pour des opérateurs à symbole principal réel. Comm. PDE8 (14), 1521–1547 (1983)
Cohen, P.: The non uniqueness of the Cauchy Problem. ONR Techn. Report 93. Stanford U. 1960
Hörmander, L.: Non Uniqueness for the Cauchy Problem. Lect. Notes in Math.,459, 36–72, Springer Verlag (1975)
Hörmander, L.: The Analysis of Linear Partial Differential Operators. Berlin: Springer Verlag 1983
Hörmander, L.: Linear Partial Differential Operators. Berlin: Springer Verlag 1963
Lerner, N., Robbiano, L.: Unicité de Cauchy pour des opérateurs de type principal. J. d'Analyse Math.44, 32–66 (1984)
Métivier, G.: Counter examples to Holmgren's uniqueness for analytic non linear Cauchy problems. Inv. Math.112, 217–222 (1993)
Métivier, G.: Uniqueness and approximation of solutions of first order non linear equations. Invent. Math.82, 262–282 (1985)
Pliš, A.: A smooth linear elliptic differential equation without any solution in a sphere. Comm. Pure Appl. Math.14, 599–617 (1961)
Whitney, H.: Analytic extensions of differentiable functions defined in closed sets. Trans. Amer. Math. Soc.36, 63–89 (1934)
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Alinhac, S., Baouendi, M.S. A non uniqueness result for operators of principal type. Math Z 220, 561–568 (1995). https://doi.org/10.1007/BF02572631
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DOI: https://doi.org/10.1007/BF02572631