Short-Time Existence for Scale-Invariant Hamiltonian Waves

Research paper by John K. Hunter

Indexed on: 02 Nov '05Published on: 02 Nov '05Published in: Mathematics - Analysis of PDEs


We prove short-time existence of smooth solutions for a class of nonlinear, and in general spatially nonlocal, Hamiltonian evolution equations that describe the self-interaction of weakly nonlinear scale-invariant waves. These equations include ones that describe weakly nonlinear hyperbolic surface waves, such as nonlinear Rayleigh waves