Small data scattering of 2d Hartree type Dirac equations
In this paper, we study the Cauchy problem of 2d Dirac equation with Hartree type
nonlinearity c (|⋅|− γ⁎< ψ, β ψ>) β ψ with c∈ R∖{0}, 0< γ< 2. Our aim is to show the small …
nonlinearity c (|⋅|− γ⁎< ψ, β ψ>) β ψ with c∈ R∖{0}, 0< γ< 2. Our aim is to show the small …
Null structure and local well-posedness in the energy class for the Yang–Mills equations in Lorenz gauge
S Selberg, A Tesfahun - Journal of the European Mathematical Society, 2016 - ems.press
We demonstrate null structure in the Yang–Mills equations in Lorenz gauge. Such structure
was found in Coulomb gauge by Klainerman and Machedon, who used it to prove global …
was found in Coulomb gauge by Klainerman and Machedon, who used it to prove global …
The Chern-Simons-Higgs and the Chern-Simons-Dirac equations in Fourier-Lebesgue spaces
H Pecher - arXiv preprint arXiv:1811.08791, 2018 - arxiv.org
The Chern-Simons-Higgs and the Chern-Simons-Dirac systems in Lorenz gauge are locally
well-posed in suitable Fourier-Lebesgue spaces $\hat {H}^{s, r} $. Our aim is to minimize …
well-posed in suitable Fourier-Lebesgue spaces $\hat {H}^{s, r} $. Our aim is to minimize …
Asymptotic decay for the Chern-Simons-Higgs equations
D Wei, S Yang - arXiv preprint arXiv:2401.13949, 2024 - arxiv.org
In this paper, we study the long time asymptotic behaviors for solutions to the Chern-Simons-
Higgs equation with a pure power defocusing nonlinearity. We obtain quantitative inverse …
Higgs equation with a pure power defocusing nonlinearity. We obtain quantitative inverse …
The modified scattering of two dimensional semi-relativistic Hartree equations
In this paper, we consider the asymptotic behaviors of small solutions to the semi-relativistic
Hartree equations in two dimension. The nonlinear term is the cubic one convolved with the …
Hartree equations in two dimension. The nonlinear term is the cubic one convolved with the …
Improved multilinear estimates and global regularity for general nonlinear wave equations in dimensions
S Hong - arXiv preprint arXiv:2207.02412, 2022 - arxiv.org
This paper is devoted to the investigation of long-time behaviour of solutions to wave
equations with quadratic nonlinearity and cubic Dirac equations with Hartree-type …
equations with quadratic nonlinearity and cubic Dirac equations with Hartree-type …
The global dynamics for the Maxwell-Dirac system
Y Cho, K Lee - arXiv preprint arXiv:2406.18887, 2024 - arxiv.org
In this paper, we study the (1+ 3) dimensional massive Maxwell-Dirac system in the context
of global existence and asymptotic behavior of solutions under the Lorenz gauge condition …
of global existence and asymptotic behavior of solutions under the Lorenz gauge condition …
Complete solvability of the time dependent self-dual equations Of Chern—Simons—Higgs model
H Huh - Reports on Mathematical Physics, 2024 - Elsevier
Complete solvability of the time dependent self-dual equations Of Chern—Simons—Higgs
model - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Help …
model - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Help …
Low regularity well-posedness of Hartree type Dirac equations in 2, 3-dimensions
K Lee - Communications on Pure and Applied Analysis, 2021 - aimsciences.org
LOW REGULARITY WELL-POSEDNESS OF HARTREE TYPE DIRAC EQUATIONS IN 2,3-DIMENSIONS
Kiyeon Lee (Communicated by Tohru Ozawa) 1. Intr Page 1 COMMUNICATIONS ON doi:10.3934/cpaa.2021126 …
Kiyeon Lee (Communicated by Tohru Ozawa) 1. Intr Page 1 COMMUNICATIONS ON doi:10.3934/cpaa.2021126 …
Scattering results for the (1+ 4) dimensional massive Maxwell-Dirac system under Lorenz gauge condition
K Lee - arXiv preprint arXiv:2312.13621, 2023 - arxiv.org
This paper investigates the\emph {massive} Maxwell-Dirac system under the Lorenz gauge
condition in (4+ 1) dimensional Minkowski space. The focus is on establishing global …
condition in (4+ 1) dimensional Minkowski space. The focus is on establishing global …