A survey on the classical theory for Kolmogorov equation

2019/07/11 by Francesca Anceschi, Anceschi, Francesca, Sergio Polidoro +1
Mathematics · #Advanced Mathematical Physics Problems #Navier-Stokes equation solutions #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1907.05155

Abstract

We present a survey on the regularity theory for classic solutions to subelliptic degenerate Kolmogorov equations. In the last part of this note we present a detailed proof of a Harnack inequality and a strong maximum principle.

Related

• A note on the weak regularity theory for degenerate Kolmogorov equations
• Note on Regularity theory for Nonlinear elliptic equations
• On the fundamental solution for degenerate Kolmogorov equations with\n rough coefficients
• Boundedness of weak solutions to degenerate Kolmogorov equations of hypoelliptic type in bounded domains
• Spatial regularity for a class of degenerate Kolmogorov equations