3 papers
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-ph2019
Nonlinear and Nonlocal Eigenvalue Problems
Michael Herrmann, Karsten Matthies
We study a class of nonlinear eigenvalue problems which involves a convolution operator as well as a superlinear nonlinearity. Our variational existence proof is based on constrain…
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…