Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8896599 | Journal of Functional Analysis | 2018 | 35 Pages |
Abstract
A variant of the Gagliardo-Nirenberg inequality in Hat-Sobolev spaces is proved, which improves certain classes of classical Sobolev embeddings. Some continuation criterion for the incompressible Navier-Stokes system is established as an application. A direct proof of the fractional Gagliardo-Nirenberg inequality in end-point Besov spaces is given and as a corollary, its counterpart in Fourier-Herz spaces is established.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Noboru Chikami,