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math.AP2025
Elliptic Harnack inequalities for mixed local and nonlocal -energy form on metric measure spaces
Aobo Chen, Zhenyu Yu
In the context of metric measure spaces, we introduce an axiomatic formulation of mixed local and nonlocal -energy forms. Within this framework, we use the Poincaré inequality,…
math.PR2025
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,…