Helge Dietert

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20232026

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math.AP2026

Simple proofs for the existence of smooth solutions to a reaction-diffusion system modeling reversible chemistry

Hector Bouton, Laurent Desvillettes, Helge Dietert

We present in this work a very short proof for the existence, uniqueness and smoothness in dimensions $d \leq 3$ of the system of reaction diffusion $ \partial\_t a\_i - d\_i Δa\_i…

math.AP2026

Nonlinear Kinetic Diffusion Equations with $p$ -Growth

Helge Dietert, Lukas Niebel, Rico Zacher

We establish the local boundedness of (sub-)solutions to nonlinear kinetic diffusion equations with $p$ -growth, where the kinetic p-Laplace equation is a prototypical example. A ke…

Simple proofs for the existence of smooth solutions to a reaction-diffusion system modeling reversible chemistry

Nonlinear Kinetic Diffusion Equations with p-Growth

Nonlinear Kinetic Diffusion Equations with $p$ -Growth