Heat kernel estimates for critical fractional diffusion operators

• Autorzy: Longjie Xie , Xicheng Zhang
• Języki publikacji: EN

Abstrakty

EN

We construct the heat kernel of the 1/2-order Laplacian perturbed by a first-order gradient term in Hölder spaces and a zero-order potential term in a generalized Kato class, and obtain sharp two-sided estimates as well as a gradient estimate of the heat kernel, where the proof of the lower bound is based on a probabilistic approach.

Kategorie tematyczne

• 60J35: Transition functions, generators and resolvents
• 47G20: Integro-differential operators

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2014
• Tom: 224
• Numer: 3
• Strony: 221-263

Daty

wydano

2014

Twórcy

autor

Longjie Xie

• School of Mathematics and Statistics, Wuhan University, Wuhan, Hubei 430072, P.R. China

autor

Xicheng Zhang

• School of Mathematics and Statistics, Wuhan University, Wuhan, Hubei 430072, P.R. China

Identyfikatory

DOI

10.4064/sm224-3-3