Strichartz estimates for the Dirac flow in Wiener amalgam spaces

DOI10.1002/mana.202200252zbMath1530.35083arXiv2205.05547MaRDI QIDQ6144884

Hyeongjin Lee, Seongyeon Kim, Ihyeok Seo

Publication date: 8 January 2024

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.05547

zbMATH Keywords

Dirac equationStrichartz estimatesWiener amalgam spaces

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) A priori estimates in context of PDEs (35B45) PDEs in connection with quantum mechanics (35Q40)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some new Strichartz estimates for the Schrödinger equation
• Strichartz estimates in Wiener amalgam spaces and applications to nonlinear wave equations
• Time-frequency analysis of the Dirac equation
• The cubic Dirac equation: small initial data in \(H^1(\mathbb R^3)\)
• Strichartz estimates for the Schrödinger propagator in Wiener amalgam spaces
• Estimates on the modulation spaces for the Dirac equation with potential
• Metaplectic representation on Wiener amalgam spaces and applications to the Schrödinger equation
• Unique continuation for the Schroedinger equation with potentials in Wiener amalgam spaces
• Generalized Amalgams, With Applications to Fourier Transform
• Strichartz and Smoothing Estimates for Dispersive Equations with Magnetic Potentials
• Low regularity semi—linear wave equations¹
• Strichartz estimates in Wiener amalgam spaces for the Schrödinger equation