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arXiv · 1112.3505

Lower Bounds for Non-Trivial Traveling Wave Solutions of Equations of KdV Type

C. E. Kenig·G. Ponce·L. Vega
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Abstract

We prove that if a solution of an equation of KdV type is bounded above by a traveling wave with an amplitude that decays faster than a given linear exponential then it must be zero. We assume no restrictions neither on the size nor in the direction of the speed of the traveling wave.

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C. E. Kenig, G. Ponce, L. Vega. 2011-12-15. Lower Bounds for Non-Trivial Traveling Wave Solutions of Equations of KdV Type. https://doi.org/10.1088/0951-7715%2F25%2F5%2F1235

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