Work

Phase space analysis of higher-order dispersive equations with point interactions

Year: 2026

Type: article

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.

Source: Communications in Partial Differential Equations

DOI: 10.1080/03605302.2026.2702344

Authors: Sonia Mazzucchi, Fabio Nicola, S. Ivan Trapasso

Institutions: University of Trento, Politecnico di Torino

Language: English

Topic: Advanced Mathematical Physics Problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Fondazione Bruno Kessler

Awards: G4022907568, G5488169599