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- Publisher
- Springer Journals
- Copyright
- Copyright © 2019 by Springer Nature Switzerland AG
- Subject
- Mathematics; Analysis
- ISSN
- 1424-3199
- eISSN
- 1424-3202
- DOI
- 10.1007/s00028-019-00490-z
- Publisher site
- See Article on Publisher Site
Abstract
This paper is concerned with estimates of the gradient of the solutions to the Stokes IBVP both in a bounded and in an exterior domain. More precisely, we look for estimates of the kind $$||\nabla v(t)||_q \le g(t)||\nabla v_0||_p,\;q\ge p>1,$$ | | ∇ v ( t ) | | q ≤ g ( t ) | | ∇ v 0 | | p , q ≥ p > 1 , for all $$t>0$$ t > 0 , where function g is independent of v.
Journal
Journal of Evolution Equations – Springer Journals
Published: Feb 12, 2019