Short-Time Existence for Scale-Invariant Hamiltonian Waves
Analysis of PDEs
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
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
Cite
@article{arxiv.math/0511066,
title = {Short-Time Existence for Scale-Invariant Hamiltonian Waves},
author = {John K. Hunter},
journal= {arXiv preprint arXiv:math/0511066},
year = {2007}
}