Abstract
We consider some basic facts on Sobolev spaces without proof. First we collect several inequalities which compare the L q-norm of a function u with the L q-norm of its gradient
. Such estimates are called Poincaré estimates. For the proofs we refer to [Nec67], [Agm65], [Ada75], and [Fri69].
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© 2001 Springer Basel AG
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Sohr, H. (2001). Preliminary Results. In: The Navier-Stokes Equations. Birkhäuser Advanced Texts Basler Lehrbücher. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8255-2_2
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DOI: https://doi.org/10.1007/978-3-0348-8255-2_2
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9493-7
Online ISBN: 978-3-0348-8255-2
eBook Packages: Springer Book Archive