id author title date pages extension mime words sentence flesch summary cache txt pk02c823t7v Curtis Alan Holliman Continuity Properties of the Data-To-Solution Map for the Hunter-Saxton Equation 2011 .txt text/plain 120 4 52 To achieve this result, approximate solutions that satisfy this property are chosen, after which actual solutions are found by solving the HS Cauchy problem with initial data taken to be the value of approximate solutions at time zero. To demonstrate this sharpness of continuity, two sequences of bounded solutions to the HS equation are constructed whose distance at the initial time converges to zero and whose distance at any later time is bounded from below by a positive constant. cache/pk02c823t7v.txt txt/pk02c823t7v.txt