
doi: 10.68381/jca09008
We consider a rate independent evolution variational inequality with an arbitrary convex closed constraint Z in a Hilbert space X. The main results consist in proving that it is well-posed in the Young integral setting in the space of functions of essentially bounded variation for every Z and in the space of regulated functions provided 0 lies in the interior of Z.
hysteresis, essentially bounded variation, Functions of bounded variation, generalizations, evolution variational inequality, Young integral, Sensitivity, stability, well-posedness, Variational inequalities, regulated functions, Hysteresis for ordinary differential equations, play operator
hysteresis, essentially bounded variation, Functions of bounded variation, generalizations, evolution variational inequality, Young integral, Sensitivity, stability, well-posedness, Variational inequalities, regulated functions, Hysteresis for ordinary differential equations, play operator
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