Answers are grounded in this paper and cite their sources.
Phase space analysis investigates nonlinear dispersive equations using Gabor wave packets, indicating new findings in harmonic analysis.
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.
No takes yet. Share an insight, caveat, or question.
Mazzucchi et al. (2026) studied this question.
Synapse has enriched 10 related papers. Consider them for comparative context: