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- W2896901369 abstract "We present ill-posedness results for the initial value problem (IVP) of the 5th-order Gardner equation. We use new breather solutions discovered for this higher order Gardner equation to measure the regularity of the Cauchy problem in Sobolev spaces $H^s$. We find the sharp Sobolev index under which the local well-posedness of the problem is lost, meaning that the dependence of 5th order Gardner solutions upon initial data fails to be continuous." @default.
- W2896901369 created "2018-10-26" @default.
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- W2896901369 date "2018-10-24" @default.
- W2896901369 modified "2023-09-27" @default.
- W2896901369 title "On the ill-posedness of the 5th-order Gardner equation" @default.
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