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math.AP2020
A uniqueness result for a simple superlinear eigenvalue problem
Michael Herrmann, Karsten Matthies
We study the eigenvalue problem for a superlinear convolution operator in the special case of bilinear constitutive laws and establish the existence and uniqueness of a one-paramet…
math.AP2018
Rescaled Objective Solutions of Fokker-Planck and Boltzmann equations
Karsten Matthies, Florian Theil
We study the long-time behavior of symmetric solutions of the nonlinear Boltzmann equation and a closely related nonlinear Fokker-Planck equation. If the symmetry of the solutions…