Lower Bounds for Non-Trivial Traveling Wave Solutions of Equations of KdV Type
classification
🧮 math.AP
keywords
travelingwavetypeaboveamplitudeassumeboundedbounds
read the original 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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