摘要

We consider the regularity estimate for the solution of the inhomogeneous heat equation in (0, T) x Omega with 0-Dirichlet boundary conditions, where Omega is a bounded domain in R(2). We choose the external force f from the Lorentz-Zygmund space which is not a reflexive Banach space, therefore our estimate cannot be obtained by a simple application of the estimate of the maximal regularity.

  • 出版日期2011-12