This is the abstract of the paper "Solvability and maximal regularity of parabolic evolution equations with coefficients continuous in time" by J. Pruess and R. Schnaubelt. For the whole paper send the command get evolve-l 99-00027 to: "listserv@rz.uni-karlsruhe.de". Instead you may get the paper at "http://ma1serv.mathematik.uni-karlsruhe.de/evolve-l/index.html" too. Abstract: We establish maximal regularity of type $L^p$ for a parabolic evolution equation $u'(t)=A(t)u(t)+f(t)$ with $A(\cdot)\in C([0,T],\cL(D(A(0)),X))$, and construct the corresponding evolution family on the underlying Banach space $X$. Our proofs are based on the operator sum method and the use of evolution semigroups. The results are applied to parabolic partial differential equations with continuous coefficients.