"Propagation of anisotropic Gabor singularities for Schrödinger type equations"Wahlberg, PatrikWe show results on propagation of anisotropic Gabor wave front sets for solutions to a class of evolution equations of Schrödinger type. The Hamiltonian is assumed to have a real-valued principal symbol with a certain anisotropic homogeneity. We prove that the propagator is continuous on anisotropic Shubin-Sobolev modulation spaces. The main result says that the propagation of the anisotropic Gabor wave front set follows the Hamilton flow of the principal symbol. This is a collaboration with M. Cappiello and L. Rodino. |
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