2 papers
math.AP2020
Heat kernel estimates for fourth order non-uniformly elliptic operators with non strongly convex symbols
Gerassimos Barbatis, Panagiotis Branikas
We obtain heat kernel estimates for a class of fourth order non-uniformly elliptic operators in two dimensions. Contrary to existing results, the operators considered have symbols…
math.AP2017
On the heat kernel of a class of fourth order operators in two dimensions: sharp Gaussian estimates and short time asymptotics
Gerassimos Barbatis, Panagiotis Branikas
We consider a class of fourth order uniformly elliptic operators in planar Euclidean domains and study the associated heat kernel. For operators with coefficients we o…