id author title date pages extension mime words sentence flesch summary cache txt 5q47rn31z1r Heather Dawn Schlotthauer-Hannah Well-Posedness and Regularity for a Higher OrderPeriodic Mkdv Equation 2008 .txt text/plain 107 4 60 We then show that the solution to the periodic Cauchy problem for this higher order equation with analytic initial data is analytic in the space variable x at any fixed time t near time zero. However, while this analyticity is not guaranteed in t, the solution does have Gevrey-m regularity with respect to the time variable t. cache/5q47rn31z1r.txt txt/5q47rn31z1r.txt