Mild solutions of non-Lipschitz stochastic integrodifferential evolution equations

In this work we study the existence and uniqueness of mild solutions for stochastic partial integrodifferential equations under local non-Lipschitz conditions on the coefficients. Our analysis makes use of the theory of resolvent operators as developed by R. Grimmer as well as a stopping time technique. Our results complement and improve several earlier related works. An example is provided to illustrate the theoretical results.Ministerio de Economía y CompetitividadConsejería de Innovación, Ciencia y Empresa (Junta de Andalucía)Simons Foundatio