Low regularity well-posedness of Hartree type Dirac equations in 2, 3-dimensions
DOI10.3934/cpaa.2021126zbMath1479.35800OpenAlexW3178232330MaRDI QIDQ2054181
Publication date: 1 December 2021
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/cpaa.2021126
Dirac equationslocal well-posednessnon-smoothnessnull structureSelberg's argumentBourgain's spaceCoulomb type potential
Smoothness and regularity of solutions to PDEs (35B65) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Related Items (1)
Cites Work
- Modified scattering for the boson star equation
- Bilinear Fourier restriction estimates related to the 2D wave equation
- On radial solutions of semi-relativistic Hartree equations
- On the Maxwell-Dirac equations with zero magnetic field and their solution in two space dimensions
- Transference of bilinear restriction estimates to quadratic variation norms and the Dirac-Klein-Gordon system
- Small data scattering of 2d Hartree type Dirac equations
- The cubic Dirac equation: small initial data in \(H^1(\mathbb R^3)\)
- Scattering results for Dirac Hartree-type equations with small initial data
- A note on the Chern-Simons-Dirac equations in the Coulomb gauge
- The boson star equation with initial data of low regularity
- Null structure and almost optimal local regularity for the Dirac-Klein-Gordon system
- Ill-Posedness Issues for the Benjamin--Ono and Related Equations
- Low regularity solutions to the Chern-Simons-Dirac and the Chern-Simons-Higgs equations in the Lorenz gauge
- On Global Existence of 3D Charge Critical Dirac–Klein–Gordon System
- Anisotropic Bilinear L2 Estimates Related to the 3D Wave Equation
- CONDITIONAL LARGE INITIAL DATA SCATTERING RESULTS FOR THE DIRAC–KLEIN–GORDON SYSTEM
- Long-time Behavior of Solutions to Cubic Dirac Equation with Hartree Type Nonlinearity in ℝ1+2
- Scattering theory for the Dirac equation with a non-local term
- On the Semirelativistic Hartree‐Type Equation
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