Abstract. We establish local and global existence results for a critical case of Dirac-Klein-Gordon equations in one space dimension, employing a null form estimate, a bilinear estimate and a fixed point argument. 0. Introduction and Main Results. In the present work, we like to study the Cauchy problem for the Dirac-Klein-Gordon equations. The unknown quantities are a spinor field ψ: R × R1 7 → C4 and a scalar field φ: R × R1 7 → R. The evolution equations for the fields are given below
Given any $\mu_1, \mu_2\in {\mathbb C}$ and $\alpha >0$, we prove the local existence of arbitrarily...
Candy T, Herr S. On the Majorana condition for nonlinear Dirac systems. Annales de l'Institut Henri ...
The aim of this paper is to study the global existence of solutions to a coupled wave-Klein-Gordon s...
Abstract. We establish local and global existence results for Dirac-Klein-Gordon equations in one sp...
Abstract. We establish local and global existence results for Dirac-Klein-Gordon equations in one sp...
Abstract. We establish the existence of local and global solutions for Dirac-Klein-Gordon equations ...
Abstract. We prove global existence for the Dirac-Klein-Gordon equa-tions in one space dimension wit...
AbstractUsing a method of S. Klainerman and M. Machedon, we give a new proof of global existence for...
We prove that the Cauchy problem for the Dirac–Klein–Gordon equations in two space dimensions is loc...
We prove that the Cauchy problem for the Dirac-Klein-Gordon system of equations in 1+3 dimensions i...
Abstract In this paper, we present a cross-constrained variational method to study the Cauchy proble...
Candy T, Herr S. Conditional large initial data scattering results for the Dirac-Klein-Gordon system...
In this thesis we study the problem of global existence of solutions to critical quasi-linear Klein-...
We prove almost optimal local well-posedness for the coupled Dirac–Klein–Gordon (DKG) system of equa...
In this thesis we prove global well-posedness and modified scattering for the massive Maxwell-Klein-...
Given any $\mu_1, \mu_2\in {\mathbb C}$ and $\alpha >0$, we prove the local existence of arbitrarily...
Candy T, Herr S. On the Majorana condition for nonlinear Dirac systems. Annales de l'Institut Henri ...
The aim of this paper is to study the global existence of solutions to a coupled wave-Klein-Gordon s...
Abstract. We establish local and global existence results for Dirac-Klein-Gordon equations in one sp...
Abstract. We establish local and global existence results for Dirac-Klein-Gordon equations in one sp...
Abstract. We establish the existence of local and global solutions for Dirac-Klein-Gordon equations ...
Abstract. We prove global existence for the Dirac-Klein-Gordon equa-tions in one space dimension wit...
AbstractUsing a method of S. Klainerman and M. Machedon, we give a new proof of global existence for...
We prove that the Cauchy problem for the Dirac–Klein–Gordon equations in two space dimensions is loc...
We prove that the Cauchy problem for the Dirac-Klein-Gordon system of equations in 1+3 dimensions i...
Abstract In this paper, we present a cross-constrained variational method to study the Cauchy proble...
Candy T, Herr S. Conditional large initial data scattering results for the Dirac-Klein-Gordon system...
In this thesis we study the problem of global existence of solutions to critical quasi-linear Klein-...
We prove almost optimal local well-posedness for the coupled Dirac–Klein–Gordon (DKG) system of equa...
In this thesis we prove global well-posedness and modified scattering for the massive Maxwell-Klein-...
Given any $\mu_1, \mu_2\in {\mathbb C}$ and $\alpha >0$, we prove the local existence of arbitrarily...
Candy T, Herr S. On the Majorana condition for nonlinear Dirac systems. Annales de l'Institut Henri ...
The aim of this paper is to study the global existence of solutions to a coupled wave-Klein-Gordon s...