We prove an interpolation inequality in a suitable multiplicative form for the L∞-norm of a function u belonging to J^q and such that P_p∆u ∈ J^p. Here J^r, r ∈ (1,∞), are the so-called spaces of hydrodynamics.
On an interpolation inequality involving the Stokes operator
Paolo Maremonti
2018
Abstract
We prove an interpolation inequality in a suitable multiplicative form for the L∞-norm of a function u belonging to J^q and such that P_p∆u ∈ J^p. Here J^r, r ∈ (1,∞), are the so-called spaces of hydrodynamics.File in questo prodotto:
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