Well-posedness of a Schrödinger–Poisson model describing nonlinear chiral effects
DOI10.1088/1361-6544/ab8fb4zbMath1450.35227OpenAlexW3047604860MaRDI QIDQ5130914
Publication date: 29 October 2020
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/1361-6544/ab8fb4
PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with quantum mechanics (35Q40) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Electro- and magnetostatics (78A30) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- Unnamed Item
- Semigroups of linear operators and applications to partial differential equations
- Chiral solitons from dimensional reduction of Chern-Simons gauged nonlinear Schrödinger equation: classical and quantum aspects
- Shock waves, chiral solitons and semiclassical limit of one-dimensional anyons
- Long-time dynamics of the Schrödinger-Poisson-Slater system
- Chiral nonlinear Schrödinger equation
- Well-posedness of a higher-order Schrödinger-Poisson-Slater system
- On an Exchange Interaction Model for Quantum Transport: The Schrödinger–Poisson–Slater System
- Well posedness and smoothing effect of Schrödinger-Poisson equation
- The One-Dimensional Wigner–Poisson Problem and Its Relation to the Schrödinger–Poisson Problem
- The initial value problem for the derivative nonlinear Schrödinger equation in the energy space
- Finite Energy Solutions of Nonlinear Schrödinger Equations of Derivative Type
- Soliton solutions to the gauged nonlinear Schrödinger equation on the plane
- A Nonrelativistic Chiral Soliton in One Dimension
- On the nonlinear Schrodinger equations of derivative type
- A variational approach to the Schrödinger-Poisson system: asymptotic behaviour, breathers, and stability
This page was built for publication: Well-posedness of a Schrödinger–Poisson model describing nonlinear chiral effects