Abstract
We show that the complex analysis techniques introduced in Bourgain (IMRN Int Math Res Not 9:437–447, 1997) can be used to prove that, if a sufficiently smooth solution to the Benjamin equation is compactly supported in a non trivial time interval then it vanishes identically.
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Acknowledgements
This work was partially supported by the Research Center of Mathematics of the University of Minho, Portugal through the FCT Pluriannual Funding Program, and FAPESP Brazil.
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Panthee, M. (2014). Unique Continuation Property for the Benjamin Equation. In: Bernardin, C., Gonçalves, P. (eds) From Particle Systems to Partial Differential Equations. Springer Proceedings in Mathematics & Statistics, vol 75. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-54271-8_11
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DOI: https://doi.org/10.1007/978-3-642-54271-8_11
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