Abstract
This paper is concerned with the non-uniform dependence on initial data for the μ−b equation on the circle. Using the approximate solution method, we construct two solution sequences to show that the data-to-solution map of the Cauchy problem of the μ−b equation is not uniformly continuous in \({H^s(\mathbb{S})}\) .
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The first author was partially supported by NSFC Grants 11071049 and 11226168; the second author was partially supported by the NUS AcRF Grant R-146-000-123-112; and the third author was partially supported by NSFC Grant 11071049
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Lv, G., Pang, P.Y.H. & Wang, M. Non-uniform dependence on initial data for the μ − b equation. Z. Angew. Math. Phys. 64, 1543–1554 (2013). https://doi.org/10.1007/s00033-013-0306-4
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DOI: https://doi.org/10.1007/s00033-013-0306-4