@misc{oai:chuo-u.repo.nii.ac.jp:00001092, author = {KOBAYASHI, Yoshikazu and TANAKA, Naoki and TOMIZAWA, Yukino}, month = {May}, note = {application/pdf, A new class of Lipschitz evolution operators is introduced and a characterization of continuous in nitesimal generators of such evolution operators is given. It is shown that a continuous mapping A from a subset Ω of [a; b) X into X, where [a; b) is a real half-open interval and X is a real Banach space, is the in nitesimal generator of a Lipschitz evolution operator if and only if it satis es a sub-tangential condition, a general type of quasi-dissipative condition with respect to a metric-like functional and a connectedness condition. An application of the results to the initial value problem for the quasilinear wave equation with dissipation is also given.}, title = {Nonautonomous differential equations and Lipschitz evolution operators in Banach spaces}, year = {2015} }