Linear parabolic operators of Monge-Ampère. I: Nondivergence-form degenerate/singular PDEs
A Harnack inequality for nonnegative strong solutions to inhomogeneous, linear, nondivergence-form parabolic PDEs of Monge-Ampère type is proved. Such parabolic PDEs are shaped by convex functions having certain geometric properties and they include instances of Grushin-type parabolic PDEs as well as other PDEs whose degeneracies/singularities are quantified by the geometric properties of the shaping convex functions. This interesting paper extends, in a non-trivial way, a previous result obtained by the author.
linearized parabolic Monge-Ampère operator
scientific article; zbMATH DE number 7633390
scientific article