Kelvin transformation and global nonlinear waves. (Transformation de Kelvin et ondes non linéaires globales.) (French) Zbl 0804.35080

Godin, Paul

Journ. Équ. Dériv. Partielles, St.-Jean-de-Monts 1993, No. 4, 6 p. (1993).

The author states without proofs some results concerning the existence (or the nonexistence) of global solutions to a nonlinear second order hyperbolic equation with small initial data.

Reviewer: I.Vrabie (Iaşi)

MSC:

35L70	Second-order nonlinear hyperbolic equations
35B60	Continuation and prolongation of solutions to PDEs
35A30	Geometric theory, characteristics, transformations in context of PDEs

Keywords:

nonlinear waves; global solutions; small initial data