Work

Nonlinear Kinetic Diffusion Equations with $p$-Growth

Year: 2026

Type: preprint

Abstract: 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 key ingredient is the derivation of kinetic Gagliardo-Nirenberg inequalities, where the Lebesgue norm of a function is estimated in terms of its transport and diffusive directions controlled in different Lebesgue spaces.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2605.18521

Authors: Dietert, Helge, Niebel, Lukas, Zacher, Rico

Institution: Institut de Mathématiques de Jussieu-Paris Rive Gauche

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7161733809

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