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IOP Publishing, Nonlinearity, 5(25), p. 1235-1245

DOI: 10.1088/0951-7715/25/5/1235

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Lower bounds for non-trivial travelling wave solutions of equations of KdV type

Journal article published in 2012 by C. E. Kenig, G. Ponce, L. Vega ORCID
This paper is available in a repository.
This paper is available in a repository.

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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.