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- W2766881566 abstract "In this chapter we provide a homogeneous second order differential operator P of spectral type 2 on Σ with polynomial coefficients with a bicharacteristic tangent to the double characteristic manifold and satisfies the Levi condition for which the Cauchy problem is ill-posed in the Gevrey class of order s > 5, in particular the Cauchy problem is C ∞ ill-posed . We also discuss some open questions on the Cauchy problem for P of spectral type 2 with tangent bicharacteristics and no transition. In the last section we make some remarks on the Cauchy problem for P with transition of spectral type under the assumption of no tangent bicharacteristics." @default.
- W2766881566 created "2017-11-10" @default.
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- W2766881566 date "2017-01-01" @default.
- W2766881566 modified "2023-09-27" @default.
- W2766881566 title "Tangent Bicharacteristics and Ill-Posedness" @default.
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- W2766881566 doi "https://doi.org/10.1007/978-3-319-67612-8_6" @default.
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