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- W37949550 abstract "We consider evolution equations ∂u/∂t = ia w (x, D)u where a is the (real valued) Weyl symbol of the operator A = a w . For instance, Schrödinger-like equations. After recalling what are generalized Fourier integral operators in the framework of the Weyl-Hörmander calculus, we give conditions on a and on the dynamics of its hamiltonian flow which imply: 1. The operator a w is essentially self-adjoint and the propagators e itA are bounded between (conveniently related) generalized Sobolev spaces. 2. The propagators e itA are generalized Fourier integral operators." @default.
- W37949550 created "2016-06-24" @default.
- W37949550 creator A5053691151 @default.
- W37949550 date "2009-01-01" @default.
- W37949550 modified "2023-09-27" @default.
- W37949550 title "Evolution Equations and Generalized Fourier Integral Operators" @default.
- W37949550 cites W2229311954 @default.
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- W37949550 doi "https://doi.org/10.1007/978-0-8176-4861-9_4" @default.
- W37949550 hasPublicationYear "2009" @default.
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