Sharp Sobolev interpolation inequalities for the Stokes operator
| Autor: | Xie, Wenzheng |
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| Rok vydání: | 1997 |
| Předmět: | |
| Zdroj: | Differential Integral Equations 10, no. 2 (1997), 393-399 |
| ISSN: | 0893-4983 |
| DOI: | 10.57262/die/1367526345 |
| Popis: | We prove Sobolev interpolation inequalities for the Stokes operator, giving sharp $L^{\infty}$ estimates for solenoidal vector fields in $\mathbb{R}^2$ and $\mathbb{R}^3$. We use fundamental solutions of a generalized Stokes system in the proofs. |
| Databáze: | OpenAIRE |
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