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Unique continuation principle for the Ostrovsky equation with negative dispersion

Article ID Journal Published Year Pages File Type
4610370 Journal of Differential Equations 2013 16 Pages PDF
Abstract
In this article we prove that if the difference of two solutions of the Ostrovsky equation with negative dispersion,∂tu+∂x3u−∂xu+u∂xu=0, has certain exponential decay for x>0 at two different times, then both solutions are equal.
Keywords
35Q5337K05Estimates of Carleman typeNonlinear dispersive equations
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Preview
Unique continuation principle for the Ostrovsky equation with negative dispersion
Authors
Pedro Isaza,
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Journal
Journal of Differential Equations
Journal: Journal of Differential Equations
Related Categories
35Q53
37K05
Estimates of Carleman type
Nonlinear dispersive equations
Algebra and Number Theory
Analysis
Applied Mathematics
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