Null structure and almost optimal local regularity for the Dirac-Klein-Gordon system
DOI10.4171/JEMS/100zbMath1187.35191arXivmath/0509545OpenAlexW2001465794MaRDI QIDQ2478603
Damiano Foschi, Piero D'Ancona, Sigmund Selberg
Publication date: 28 March 2008
Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0509545
Smoothness and regularity of solutions to PDEs (35B65) KdV equations (Korteweg-de Vries equations) (35Q53) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40)
Related Items (44)
Cites Work
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- Problème de Cauchy pour des systèmes hyperboliques semi-linéaires
- On the existence of a global solution of the Cauchy problem for a Klein- Gordon-Dirac system
- The global existence of Yang-Mills-Higgs fields in 4-dimensional Minkowski space. I. Local existence and smoothness properties
- Solution globale des équations de Maxwell-Dirac-Klein-Gordon
- Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
- Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
- The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices
- On the Maxwell-Klein-Gordon equation with finite energy
- A new proof of global existence for the Dirac Klein-Gordon equations in one space dimension
- On certain global solutions of the Cauchy problem for the (classical) coupled Klein-Gordon-Dirac equations in one and three space dimensions
- On an estimate for the wave equation and applications to nonlinear problems
- Finite energy solutions of the Yang-Mills equations in \(\mathbb{R}^{3+1}\)
- Smoothing estimates for null forms and applications
- On the Dirac-Klein-Gordon equations in one space dimension.
- The Cauchy problem for the 1-D Dirac-Klein-Gordon equation
- Global solutions of the Cauchy problem for the (classical) coupled Maxwell-Dirac equations in one space dimension
- Multilinear weighted convolution of L 2 functions, and applications to nonlinear dispersive equations
- LOW REGULARITY SOLUTIONS OF THE DIRAC KLEIN-GORDON EQUATIONS IN TWO SPACE DIMENSIONS
- Global existence of small amplitude solutions to nonlinear klein-gordon equations in four space-time dimensions
- Local regularity of nonlinear wave equations in three space dimensions
- Local existence of energy class solutions for the dirac—klein—gordon equations
- Space‐time estimates for null forms and the local existence theorem
- Almost optimal local well-posedness for the (3+1)-dimensional Maxwell–Klein–Gordon equations
- Bilinear space-time estimates for homogeneous wave equations
- BILINEAR ESTIMATES AND APPLICATIONS TO NONLINEAR WAVE EQUATIONS
- Low regularity local solutions for field equations
- Counterexamples to Local Existence for Semi-Linear Wave Equations
- On the Dirac–Klein–Gordon Equations in Three Space Dimensions
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