We study the Stokes initial boundary value problem with an initial data in a Lorentz space. We develop a suitable technique able to solve the problem and to prove the semigroup properties of the resolving operator in the case of the \limit exponents". The results are a completion of the ones related to the usual Lp-theory, of the ones already known and they are also useful tool to study some questions related to the Navier-Stokes equations.
A REMARK ON THE STOKES PROBLEM IN LORENTZ SPACES
MAREMONTI, Paolo
2013
Abstract
We study the Stokes initial boundary value problem with an initial data in a Lorentz space. We develop a suitable technique able to solve the problem and to prove the semigroup properties of the resolving operator in the case of the \limit exponents". The results are a completion of the ones related to the usual Lp-theory, of the ones already known and they are also useful tool to study some questions related to the Navier-Stokes equations.File in questo prodotto:
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