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Short-Time Existence for Scale-Invariant Hamiltonian Waves

John K. Hunter
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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

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John K. Hunter. 2005-11-02. Short-Time Existence for Scale-Invariant Hamiltonian Waves. https://arxiv.org/abs/math/0511066

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