Propagation of analyticity for a class of nonlinear hyperbolic equations

  • Sergio Spagnolo

    Università di Pisa, Italy

Abstract

We consider the semilinear hyperbolic equations of the form

with entire analytic, where the characteristic roots satisfy

We prove that, if the 's are analytic functions, al the solutions bounded in enjoy the propagation of analyticity; while, if the 's are functions, such a property holds for those solutions which are bounded in some Gevrey class.

Cite this article

Sergio Spagnolo, Propagation of analyticity for a class of nonlinear hyperbolic equations. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 22 (2011), no. 2, pp. 135–149

DOI 10.4171/RLM/591