id author title date pages extension mime words sentence flesch summary cache txt 9p29086334c Melissa Davidson Continuity Properties of the Solution Map for the Generalized Reduced Ostrovsky Equation 2013 .txt text/plain 86 3 54 Considering that for this range of exponents the gRO equation is well-posed with continuous dependence on initial data, this result makes the continuity of the solution map an optimal property. It is shown that the data-to-solution map for the generalized reduced Ostrovsky (gRO) equation is not uniformly continuous on bounded sets in Sobolev spaces on the circle with exponent s > 3/2. cache/9p29086334c.txt txt/9p29086334c.txt