Blar i Institutt for matematiske fag på tidsskrift "Advances in Differential Equations"
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Non-uniform dependence on initial data for equations of Whitham type
(Journal article, 2019)We consider the Cauchy problem ∂tu + u∂xu + L(∂xu) = 0, u(0, x) = u0(x) for a class of Fourier multiplier operators L, and prove that the solution map u0 7→ u(t) is not uniformly continuous in Hs on the real line or on the ...