Weak Solutions of Abstract Evolutionary Integro-Differential Equations in Hilbert Spaces

We prove existence and uniqueness of weak solutions to certain abstract evolutionary integro-differential equations in Hilbert spaces, including evolution equations of fractional order less than 1. Our results apply, e.g., to parabolic partial integro-differential equations in divergence form with merely bounded and measurable coefficients.

Ҳали таржима қилинмаган