Gaussian estimates for fundamental solutions of higher-order parabolic equations with time-independent coefficients
Abstract
We study the De Giorgi-Moser-Nash estimates of higher-order parabolic equations in divergence form with complex-valued, measurable, bounded, uniformly elliptic (in the sense of Garding inequality) and time-independent coefficients. We also obtain Gaussian upper bounds and H\"older regularity estimates for the fundamental solutions of this class of parabolic equations.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.