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math.AP2013
Amplification of pulses in nonlinear geometric optics
Jean-Francois Coulombel, Mark Williams
In this companion paper to our study of amplification of wavetrains, we study weakly stable semilinear hyperbolic boundary value problems with pulse data. Here weak stability means…
math.AP2013
Nonlinear geometric optics for reflecting uniformly stable pulses
Jean-Francois Coulombel, Mark Williams
We provide a justification with rigorous error estimates showing that the leading term in weakly nonlinear geometric optics expansions of highly oscillatory reflecting pulses is cl…