科研之友
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摘要
In this paper we discuss about Fourier integral operators with complex phase functions belonging to S-rho, delta(kappa), 0 < delta < rho <= 1, 0 < kappa < rho - delta where the positivity of imaginary part of the phase functions is not required. In particular we prove composition formulae for 0 and 1 quantization of Fourier integral operators with phase phi and -phi. These results are applied to reduce the Cauchy problem for noneffectively hyperbolic operators in the Gevrey classes to the Cauchy problem in Sobolev spaces.
- 出版日期2010-9
