Cauchy Problem for Differential Operators with Double Characteristics: Non-Effec
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A doubly characteristic point of a dierential operator P of order m (i.e. one where Pm = dPm = 0) is eectively hyperbolic if the Hamilton map FPm has real non-zero eigenvalues. If there is a non-eectively hyperbolic characteristic, solvability requires the subprincipal symbol of P to lie between − Pµj and P µj, where iµj are the positive imaginary eigenvalues of FPm.
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