EVOLUTION EQUATIONS WITH ALMOST PERIODIC INITIAL DATA

Giga, Yoshikazu

Hokkaido University Preprint Series in Mathematics, 2007, 874, 1-14

Permalink : https://doi.org/10.14943/84024

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アクセス権	open access
DOI	https://doi.org/10.14943/84024
URI	https://hdl.handle.net/2115/69683
タイトル	EVOLUTION EQUATIONS WITH ALMOST PERIODIC INITIAL DATA
著者	著者名 Giga, Yoshikazu
言語	英語
発行日	2007
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	874
ページ	1-14
抄録	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.
資源タイプ	紀要論文
出版タイプ	Version of Record