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math.AP2018
On hysteresis-reaction-diffusion systems: Singular fast-reaction limit derivation and nonlinear hysteresis feedback
Klemens Fellner, Christian Münch
This paper concerns a general class of PDE-ODE reaction-diffusion systems, which features a singular fast-reaction limit towards a reaction-diffusion equation coupled to a scalar h…
math.AP2017★ 1 cited
Global existence and Hadamard differentiability of hysteresis-reaction-diffusion systems
Christian Münch
We consider a class of semilinear parabolic evolution equations subject to a hysteresis operator and a Bochner-Lebesgue integrable source term. The underlying spatial domain is all…