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Fourier integral operators algebra and f...
Ascanelli, A....
Fourier integral operators algebra and fundamental solutions to hyperbolic systems with polynomially bounded coefficients on R^n by Ascanelli, A. ( Author )
N.A
06-05-2015
We study the composition of an arbitrary number of Fourier integral operators Aj, j=1,…,M, M≥2, defined through symbols belonging to the so-called SG classes. We give conditions ensuring that the composition A1∘⋯∘AM of such operators still belongs to the same class. Through this, we are then able to show well-posedness in weighted Sobolev spaces for first order hyperbolic systems of partial differential equations with coefficients in SG classes, by constructing the associated fundamental solutions.
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https://arxiv.org/abs/1505.01566
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