Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4634402 | Applied Mathematics and Computation | 2008 | 7 Pages |
Abstract
Our recent results on extended crystal PDE's and geometric theory on PDE's stability, are applied to the generalized n-d'Alembert PDE's, (dâ²A)n, n⩾2. We prove that these are extended crystal PDE's for any n⩾2. For suitable n, (dâ²A)n becomes an extended 0-crystal PDE and also a 0-crystal PDE. An equation, having all the same smooth solutions of (dâ²A)n, but without unstabilities at “finite time” is obtained for each n⩾2.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Agostino Prástaro,