Abstract
The first section of this chapter is dedicated to the proof of the Necas inequality which says that, in the space L 2(Ω), the L 2-norm is equivalent to the sum of the H -1-norm of the function and of its gradient. Even if this seems to be a very natural property, the proof (given here in any Lipschitz domain with compact boundary) is far from being straightforward.
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© 2013 Springer Science+Business Media New York
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Boyer, F., Fabrie, P. (2013). Steady Stokes equations. In: Mathematical Tools for the Study of the Incompressible Navier-Stokes Equations and Related Models. Applied Mathematical Sciences, vol 183. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-5975-0_4
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DOI: https://doi.org/10.1007/978-1-4614-5975-0_4
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