The notion of semigroups of Lipschitz operators is introduced and a characterization of continuous infinitesimal generators of such semigroups is obtained. An application of the abstract theory obtained here is given to the Cauchy problem for quasi-linear wave equation with damping.
"Semigroups of Lipschitz operators." Adv. Differential Equations 6 (5) 613 - 640, 2001. https://doi.org/10.57262/ade/1357141857