A REMARK ON THE STOKES PROBLEM IN LORENTZ SPACES

作者:Maremonti Paolo*
来源:Discrete and Continuous Dynamical Systems - Series S, 2013, 6(5): 1323-1342.
DOI:10.3934/dcdss.2013.6.1323

摘要

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 %26quot;limit exponents%26quot;. The results are a completion of the ones related to the usual L-p-theory, of the ones already known and they are also useful tool to study some questions related to the Navier-Stokes equations.

  • 出版日期2013-10