Gradient and stability estimates of heat kernels for fractional powers of elliptic operator

DOI10.1016/j.spl.2018.07.003zbMath1406.60111arXiv1705.11182OpenAlexW2963372826WikidataQ129563823 ScholiaQ129563823MaRDI QIDQ1726703

Xianqiang Yang

Publication date: 20 February 2019

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.11182

zbMATH Keywords

stabilityfractional powerssubordinationgradient estimates

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07) Transition functions, generators and resolvents (60J35)

Cites Work

• Gaussian bounds for the fundamental solutions of \(\nabla(A\nabla u)+B\nabla u-u_ t=0\)
• Stability and approximations of symmetric diffusion semigroups and kernels
• A Harnack inequality for the equation \(\nabla (a \nabla u) + b \nabla u = 0\), when \(| b | \in K_{n+1}\)
• Fractional diffusion in Gaussian noisy environment
• Space-time fractional diffusions in Gaussian noisy environment
• The representation of 𝑒^{-𝑥^{𝜆}} as a Laplace integral
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