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Hokkaido University Preprint Series in Mathematics >
EVOLUTION EQUATIONS WITH ALMOST PERIODIC INITIAL DATA
| Title: | EVOLUTION EQUATIONS WITH ALMOST PERIODIC INITIAL DATA |
| Authors: | Giga, Yoshikazu Browse this author |
| Issue Date: | 2007 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 874 |
| Start Page: | 1 |
| End Page: | 14 |
| Abstract: | It is rather clear that the solution is periodic if it is initially eriodic provided that the evolution equation under study is well-posed and ranslation invariant. It is less obvious to see that almost periodicity is reserved under slightly stronger assumptions. We are interested in evolution f the frequency set when initial data is almost periodic. We consider such problem for the Navier-Stokes equations and other evolution equations. typical result is that an additive group generated by frequency set called odule is contained in the module of initial data. We propose a method mbedding almost periodic problems to periodic problems which yields such result. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69683 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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