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math.CA2022★ 1 cited
Single-spike solutions to the 1D shadow Gierer-Meinhardt problem
Annalisa Iuorio, Christian Kuehn
A fundamental example of reaction-diffusion system exhibiting Turing type pattern formation is the Gierer-Meinhardt system, which reduces to the shadow Gierer-Meinhardt problem in…
math.CA2014★ 7 cited
A Remark on Geometric Desingularization of a Non-Hyperbolic Point using Hyperbolic Space
Christian Kuehn
A steady state (or equilibrium point) of a dynamical system is hyperbolic if the Jacobian at the steady state has no eigenvalues with zero real parts. In this case, the linearized…
math.CA2008
Introduction to Potential Theory via Applications
Christian Kuehn
We introduce the basic concepts related to subharmonic functions and potentials, mainly for the case of the complex plane and prove the Riesz decomposition theorem. Beyond the elem…