Аңдатпа
Abstract We consider a Dirac-type equation with a quadratic nonlinearity with initial data in the Gevrey spaces G σ , s {G^{\sigma,s}} , whose functions admit analytic continuations. We show that the Cauchy problem is locally well-posed in G σ , s {G^{\sigma,s}} , thus giving us short-time persistence of analyticity of solutions. In addition, we prove sufficient conditions for the solutions to be analytic for all time.