id author title date pages extension mime words sentence flesch summary cache txt dv13zs28169 David Karapetyan On the well-posedness of the hyperelastic rod equation 2012 .txt text/plain 124 4 48 It is shown that the data-to-solution map for the hyperelastic rod equation is not uniformly continuous on bounded sets of Sobolev spaces with exponent greater than 3/2 in the periodic case and non-periodic cases. The proof is based on energy estimates coupled with a delicate commutator estimate and multiplier estimate. cache/dv13zs28169.txt txt/dv13zs28169.txt