Type: Article

A quadratic quasi-linear Klein-Gordon equation in two space dimensions

Hayashi, Nakao; Naumkin, Pavel I;

Abstract:

We consider the quasi-linear Klein-Gordon equations in two space dimensions (partial derivative(2)(t) - Delta + 1) u = N (u) in (t, x) is an element of R x R-2 with a quadratic nonlinearity N (u), which is linear with respect to the second-order derivatives of unknown functions.