Final state problem for the Dirac-Klein-Gordon equations in two space dimensions
type: Item
instance of: scholarly article
title: Final state problem for the Dirac-Klein-Gordon equations in two space dimensions
zbMATH Open document ID: 1294.35114
DOI: 10.1155/2013/273959
author: Masahiro Ikeda
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: Summary: We study the final state problem for the Dirac-Klein-Gordon equations (DKG) in two space dimensions. We prove that if the nonresonance mass condition is satisfied, then the wave operator for DKG is well defined from a neighborhood at the origin in lower order weighted Sobolev space to some Sobolev space.
Mathematics Subject Classification ID: 35Q40
Mathematics Subject Classification ID: 81Q05
zbMATH DE Number: 6306589
zbMATH Keywords: Dirac-Klein-Gordon equations
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/273959
OpenAlex ID: W2154935993
Wikidata QID: Q58915769
cites work: LOW REGULARITY SOLUTIONS OF THE DIRAC KLEIN-GORDON EQUATIONS IN TWO SPACE DIMENSIONS
cites work: LOCAL WELL-POSEDNESS BELOW THE CHARGE NORM FOR THE DIRAC–KLEIN–GORDON SYSTEM IN TWO SPACE DIMENSIONS
cites work: Global Solutions for the Dirac–Klein–Gordon System in Two Space Dimensions
cites work: Unconditional uniqueness in the charge class for the Dirac-Klein-Gordon equations in two space dimensions
cites work: Q3825451
cites work: Scattering problem for a system of nonlinear Klein-Gordon equations related to Dirac-Klein-Gordon equations
cites work: On global small amplitude solutions to systems of cubic nonlinear Klein--Gordon equations with different mass terms in one space dimension
cites work: Global small amplitude solutions for two-dimensional nonlinear Klein-Gordon systems in the presence of mass resonance
cites work: Wave operator for the system of the Dirac-Klein-Gordon equations
cites work: A remark on the algebraic normal form method applied to the Dirac-Klein-Gordon system in two space dimensions
cites work: Null structure and almost optimal local regularity for the Dirac-Klein-Gordon system
cites work: Wave operators to a quadratic nonlinear Klein-Gordon equation in two space dimensions
cites work: \(L^p-L^q\) estimates for the Klein-Gordon equation
cites work: Existence of solutions for Schrödinger evolution equations
cites work: Commutator estimates and the euler and navier-stokes equations
cites work: Global solutions for the Dirac-Proca equations with small initial data in 3+1 space time dimensions
cites work: Q3733338
cites work: A note on global existence of solutions to nonlinear Klein-Gordon equations in one space dimension
cites work: The unit condition and global existence for a class of nonlinear Klein- Gordon equations
cites work: Stability of Constant Equilibrium for the Maxwell-Higgs Equations
Recommended article: Final state problem for the cubic nonlinear Klein–Gordon equation
Recommended article: Global Solutions for the Dirac–Klein–Gordon System in Two Space Dimensions
Recommended article: Bound-state solutions of the Maxwell-Dirac and the Klein-Gordon-Dirac systems
Recommended article: Ground state solutions of a Klein–Gordon–Maxwell system for two scalar fields
Recommended article: Final state problem for Korteweg–de Vries type equations
Recommended article: LOW REGULARITY SOLUTIONS OF THE DIRAC KLEIN-GORDON EQUATIONS IN TWO SPACE DIMENSIONS
Recommended article: Solutions of Klein-Gordon and Dirac equations on quantum Minkowski spaces
Recommended article: On semiclassical states for Dirac equations
Recommended article: Q3019105
Recommended article: Exact solution of Dirac and Klein-Gordon-Fock equations in a curved space admitting a second Dirac operator
description: scientific article; zbMATH DE number 6306589