Propagation of singularities for anharmonic Schr\"odinger equations
Analysis of PDEs
2025-03-05 v2 Functional Analysis
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.
Keywords
Cite
@article{arxiv.2406.03122,
title = {Propagation of singularities for anharmonic Schr\"odinger equations},
author = {Marco Cappiello and Luigi Rodino and Patrik Wahlberg},
journal= {arXiv preprint arXiv:2406.03122},
year = {2025}
}
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42 pages