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arXiv · 2603.19540

Diffusion bounds for non-autonomous degenerate parabolic equations

Marius Lemm·Israel Michael Sigal·Jingxuan Zhang
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Abstract

We consider possibly degenerate non-autonomous parabolic equations in $L^p$ spaces for all $1\le p\le\infty$, and prove Gaussian space-time upper bounds of the Davies-Gaffney, or integrated Nash-Aronson, type on their solutions. Our bounds cover both linear and nonlinear equations.

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Marius Lemm, Israel Michael Sigal, Jingxuan Zhang. 2026-09-16. Diffusion bounds for non-autonomous degenerate parabolic equations. https://arxiv.org/abs/2603.19540

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