| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4612089 | Journal of Differential Equations | 2010 | 31 Pages |
Abstract
It is shown that the 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 greater than 1 in the non-periodic case. The proof is based on the method of approximate solutions and well-posedness estimates for the solution and its lifespan.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
