Short-Time Existence for Scale-Invariant Hamiltonian Waves

Details Short-Time Existence for Scale-Invariant Hamiltonian Waves Short-Time Existence for Scale-Invariant Hamiltonian Waves

2005-11-02

arxiv.org/abs/math/0511066v1

Mathematics

Analysis of PDEs

Scientific paper

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

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