Helge Dietert

activity

20232026

collaborators

6 papers

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…

math.AP2025

Nash's $G$ bound for the Kolmogorov equation

Helge Dietert, Lukas Niebel

We prove Nash's $G$ bound for the Kolmogorov equation with rough coefficients. Our proof is inspired by the treatment of the parabolic problem by Nash (1958) and Fabes and Stroock…

math.AP2025

Critical trajectories in kinetic geometry

Helge Dietert, Clément Mouhot, Lukas Niebel +1

We construct critical trajectories in kinetic geometry, i.e. curves in $R^{1 + 2 n}$ that are: tangential to the vector fields $\partial_{t} + v \cdot \nabla_{x}$ and $\nabla_{v}$ , co…

math.AP2024

Poincaré inequality and quantitative De Giorgi method for hypoelliptic operators

Francesca Anceschi, Helge Dietert, Jessica Guerand +3

We propose a systematic approach based on trajectories to prove a Poincaré inequality for weak non-negative sub-solutions to hypoelliptic equations with an arbitrary number of Hörm…

math.AP2023

L $^{2}$ -Hypocoercivity for non-equilibrium kinetic equations

Helge Dietert

The recent work [11] developed a general framework to show hypocoercivity for a stationary Gibbs state and allowed spatial degeneracy, confining potentials and boundary conditions.…