Gradient and Stability Estimates of Heat Kernels for Fractional Powers of Elliptic Operator

2017/05/31 by Yong Chen, Chen, Yong, Yaozhong Hu +3
Mathematics · #47D07 #60J35 #Advanced Harmonic Analysis Research #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems #Probability (math.PR)

paper · pdf · doi:10.48550/arxiv.1705.11182

openalex publication_date 2017/05/31 · openalex created_date 2017/06/05 · openalex updated_date 2026/07/28

Abstract

Gradient and stability type estimates of heat kernel associated with fractional power of a uniformly elliptic operator are obtained. L^p-operator norm of semigroups associated with fractional power of two uniformly elliptic operators are also obtained.

Related

• Optimal gradient estimates of heat kernels of stable-like operators
• Regularity estimates of fractional heat semigroups related with uniformly elliptic operators
• Heat kernel estimates for critical fractional diffusion operator
• Explicit improvements for L^p-estimates related to elliptic systems
• Kernel estimates for elliptic operators with unbounded diffusion, drift and potential terms