Strichartz estimates for the 2D and 3D massless Dirac-Coulomb equations and applications

DOI10.1016/j.jfa.2023.110251zbMath1529.35424arXiv2304.14904OpenAlexW4388686814MaRDI QIDQ6144359

Elena Danesi

Publication date: 5 January 2024

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2304.14904

zbMATH Keywords

local well-posednessgeneralized Strichartz estimatesDirac-Coulomb equation

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

• Unnamed Item
• Local smoothing estimates for the massless Dirac-Coulomb equation in 2 and 3 dimensions
• Minimax principles, Hardy-Dirac inequalities, and operator cores for two and three dimensional Coulomb-Dirac operators
• Virial identity and weak dispersion for the magnetic Dirac equation
• Global small solutions to the critical radial Dirac equation with potential
• Strichartz estimates for the wave and Schrödinger equations with the inverse-square potential
• Lieb-Thirring and Cwickel-Lieb-Rozenblum inequalities for perturbed graphene with a Coulomb impurity
• Limiting absorption principle and Strichartz estimates for Dirac operators in two and higher dimensions
• Endpoint estimates and global existence for the nonlinear Dirac equation with potential
• On the lack of dispersion for a class of magnetic Dirac flows
• Generalized and weighted Strichartz estimates
• Dispersive estimates for the Dirac equation in an Aharonov-Bohm field
• Domains for Dirac-Coulomb min-max levels
• The Kato-Ponce Inequality
• Strichartz and Smoothing Estimates for Dispersive Equations with Magnetic Potentials
• A weighted uniform $L^{p}$--estimate of Bessel functions: A note on a paper of Guo
• Equivalence of Sobolev Norms Involving Generalized Hardy Operators
• Scattering theory for the Dirac equation with a non-local term
• On the Semirelativistic Hartree‐Type Equation
• STRICHARTZ ESTIMATES FOR WAVE EQUATION WITH INVERSE SQUARE POTENTIAL
• Asymptotic estimates for the wave functions of the Dirac-Coulomb operator and applications

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