Type: Article

Global existence of solutions to nonlinear dispersive wave equations

Hayashi, Nakao; Kobayashi, Seishirou; Naumkin, Pavel I.;

Abstract:

We study the global existence of solutions to nonlinear dispersive wave equations partial derivative(2)(t)u + 1/rho(2) vertical bar partial derivative(x)vertical bar(2 rho) u = lambda vertical bar partial derivative(t)u vertical bar(P-1) partial derivative(t)u in one space dimension, where 0 < rho <= 2, rho not equal 1, p > 3 and lambda is an element of C.