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math.AP2026
The filter of singularities in global anisotropic microlocal analysis
Luigi Rodino, Patrik Wahlberg
We define a filter of time-frequency anisotropic global singularities of phase space for tempered distributions. The filter contains information from the corresponding anisotropic…
math.AP2024
Propagation of singularities for anharmonic Schrödinger equations
Marco Cappiello, Luigi Rodino, Patrik Wahlberg
We consider evolution equations for two classes of generalized anharmonic oscillators and the associated initial value problem in the space of tempered distributions. We prove that…
math.AP2023
Propagation of anisotropic Gabor singularities for Schrödinger type equations
Marco Cappiello, Luigi Rodino, Patrik Wahlberg
We 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-v…