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 the Cauchy problem is well posed in anisotropic Shubin–Sobolev modulation spaces of Hilbert type, and we investigate propagation of suitable notions of singularities.
Propagation of singularities for anharmonic Schrödinger equations
Marco Cappiello;Luigi Rodino;
2025-01-01
Abstract
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 the Cauchy problem is well posed in anisotropic Shubin–Sobolev modulation spaces of Hilbert type, and we investigate propagation of suitable notions of singularities.
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