Maximal regularity for evolution problems on the line
Alessandro Zamboni · Differential and Integral Equations · 2009
Let $A$ be a hyperbolic bisectorial operator on a Banach space. In this paper we study the optimal regularity of the solutions of the abstract first-order evolution equation $u' (t) = Au(t) + f (t) $ on the whole line, depending on the regularity of the inhomogeneity $f.$