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On the support of solutions to the Ostrovsky equation with positive dispersion

✍ Scribed by Pedro Isaza; Jorge Mejía

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
376 KB
Volume
72
Category
Article
ISSN
0362-546X

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✦ Synopsis

In this paper we prove that sufficiently smooth solutions of the Ostrovsky equation with positive dispersion,

x u + u∂ x u = 0, that have exponential decay for x > 0 and such that their supports for two different times are contained in an interval (-∞, B], are identically zero.

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The Swift-Hohenberg equation with dispersion is considered. Traveling wave solutions of the Swift-Hohenberg equation with dispersion are presented. The classification of these solutions is given. It is shown that the Swift-Hohenberg equation without dispersion has only stationary meromorphic solutio