Propagation of singularities for anharmonic Schrödinger equations
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.
Authors
- Marco Cappiello (ORCID: https://orcid.org/0000-0003-3722-1950)
- Patrik Wahlberg (ORCID: https://orcid.org/0000-0003-4740-0629)
- Luigi Rodino (ORCID: https://orcid.org/0000-0002-6222-964X)
Institutions
- Collegio Carlo Alberto (IT)
- Politecnico di Torino (IT)
Publication Details
- Journal
- Journal of Mathematical Physics
- Published
- 2025-04-01
- DOI
- https://doi.org/10.1063/5.0234449
- Primary Topic
- Advanced Mathematical Physics Problems
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Ministero dell’Istruzione, dell’Università e della Ricerca
- Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni