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math.PR2026
Spectral bounds and heat kernel upper estimates for Dirichlet forms
Aobo Chen, Zhenyu Yu
We use a Harnack-type inequality on exit times and spectral bounds to characterize upper bounds of the heat kernel associated with any regular Dirichlet form without killing part,…
math.PR2026
Boundary Harnack principle on uniform domains
Aobo Chen
We present a proof of scale-invariant boundary Harnack principle for uniform domains when the underlying space satisfies a scale-invariant elliptic Harnack inequality. Our approach…