4 papers
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…
An existence result and evolutionary -convergence for perturbed gradient systems
Aras Bacho, Etienne Emmrich, Alexander Mielke
The initial-value problem for the perturbed gradient flow \[ B(t,u(t)) \in \partialΨ_{u(t)}(u'(t))+\partial \mathcal E_t(u(t)) \text{ for a.a. } t\in (0,T),\qquad u(0)=u_0 \] with…
Semilinear Parabolic Differential Inclusions with One-sided Lipschitz Nonlinearities
Wolf-Jürgen Beyn, Etienne Emmrich, Janosch Rieger
We present an existence result for a partial differential inclusion with linear parabolic principal part and relaxed one-sided Lipschitz multivalued nonlinearity in the framework o…
Why more physics can help achieving better mathematics
André Eikmeier, Etienne Emmrich, Eckehard Schöll
In this paper, we discuss the question whether a physical "simplification" of a model makes it always easier to study, at least from a mathematical and numerical point of view. To…