A new theorem establishes local-in-time existence, uniqueness, and spatial decay estimates for Navier-Stokes solutions in a half-space with initial data in a class of weighted Lebesgue spaces.
Foias, Une remarque sur l’unicit´ e des solutions des ´ equations de Navier-Stokes en dimensionn
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The IBVP for the Navier-Stokes equations in the half-space in a class of weighted Lebesgue spaces
A new theorem establishes local-in-time existence, uniqueness, and spatial decay estimates for Navier-Stokes solutions in a half-space with initial data in a class of weighted Lebesgue spaces.