Phase space analysis of higher-order dispersive equations with point interactions
Abstract
We investigate nonlinear, higher-order dispersive equations with measure (or even less regular) potentials and initial data with low regularity. Our approach is of distributional nature and relies on the phase space analysis (via Gabor wave packets) of the corresponding fundamental solution - in fact, locating the modulation/amalgam space regularity of such generalized Fresnel-type oscillatory functions is a problem of independent interest in harmonic analysis.
Fields of Study & Subjects
Meteorological Phenomena and Simulations
Publication details
- Journal / source
- Communications in Partial Differential Equations
- Publisher
- Informa UK Limited
- Volume
- 51
- Issue
- 5
- Pages
- 564–584
- Publication date
- 4 May 2026
- Language
- EN