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math.AP2022
Existence of strong solutions for the Oldroyd model with multivalued right-hand side
André Eikmeier
The initial value problem for a coupled system is studied. The system consists of a differential inclusion and a differential equation and models the fluid flow of a viscoelastic f…
math.AP2019
On a multivalued differential equation with nonlocality in time
André Eikmeier, Etienne Emmrich
The initial value problem for a multivalued differential equation is studied, which is governed by the sum of a monotone, hemicontinuous, coercive operator fulfilling a certain gro…
math.AP2018
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 is studied, where is a monotone, coercive operator and where induc…