Work

Strichartz Estimates and Scattering for the Massless Reduced Dirac-Fock Equation

Year: 2026

Type: preprint

Abstract: In this paper, we establish Strichartz estimates for the reduced Dirac-Fock equation for 3D massless spinors, linearized around non-localized equilibria. Our analysis covers both the random field and the density matrix frameworks. As an application, we deduce scattering for the corresponding nonlinear problem with a high-frequency cut-off.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.27818

Authors: Danesi, Elena, de Suzzoni, Anne-Sophie, Morellini, Umberto

Institution: Politecnico di Torino

Language: English

Topic: Advanced Mathematical Physics Problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", European Commission, Agence Nationale de la Recherche, Université Paris-Saclay, Gruppo Nazionale per la Fisica Matematica, NextGenerationEU

Awards: G2971504390, Nonlinearity, Hamiltonians and Turbulence, G8097609347

OpenAlex ID: W7223094066

Cites: 4

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Related to: 10