Publication: On the well-posedness of the hyperelastic rod equation
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In this paper we consider the hyperelastic rod equation on the Sobolev spaces Hs(R), s>3/2. Using a geometric approach we show that for any T>0 the corresponding solution map, u(0)?u(T), is nowhere locally uniformly continuous. The method applies also to the periodic case Hs(T), s>3/2.
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Annali di Matematica Pura ed Applicata
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10.1007/s10231-018-0798-9
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