We derive estimates on the magnitude of non-adiabatic interaction between a Hamiltonian partial differential equation and a high-frequency nonlinear oscillator. Assuming spatial analyticity of the ...

Consider an evolution equation with energy dissipation, ${\textstyle\frac{\partial}{\partial t}}y(x,t)=Ay(x,t)+By(x,t)$ on a bounded x-domain Ω, where By signifies a dissipative perturbation to an ...

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