Nonlinear evolution equations with exponentially decaying memory: Existence via time discretisation, uniqueness, and stability

André Eikmeier, Etienne Emmrich, Hans-Christian Kreusler

The initial value problem for an evolution equation of type $v^{\prime }+Av+BKv=f$ is studied, where $A:V_A\to V_A^{\prime }$ is a monotone, coercive operator and where $B:V_B\to V_B^{\prime }$ induc…