Displaying similar documents to “Gradient estimates, Harnack inequalities and estimates for heat kernels of the sum of squares of vector fields.”

Heat kernel estimates for critical fractional diffusion operators

Longjie Xie, Xicheng Zhang (2014)

Studia Mathematica

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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.

On the thermal aspect of dynamic contact problems

Christof Eck, Jiří Jarušek (2001)

Mathematica Bohemica

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A short survey of available existence results for dynamic contact problems including heat generation and heat transfer is presented.