Analytic Pseudo-Differential Operators and their by Julii A. Dubinskii

+00 (j = 1, ... , n) there exists a sequence of values ( = (II E en (v = 1,2, ... 14) under the initial conditions u~:)(O, z) = 0, UOIl(O, z) = cPOII(Z), Furthermore, for any compact l{ k = 1, ... , m - 1. 1 the sequence of solutions uoll(t, z) must also 39 PD-OPERATORS WITH CONSTANT ANALYTIC SYMBOLS tend to zero in some cylinder W[. 19), This contradiction shows that uo(t, () is an exponential function in ( for all t, It I < p, where p> 0 is some number.

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