Resolvent metrics and heat kernel estimates
Andras Telcs
TL;DR
This paper introduces resolvent metrics, a generalization of resistance metrics, to unify heat kernel estimates of sub-Gaussian type under minimal assumptions, advancing the theoretical understanding of heat diffusion processes.
Contribution
It presents a novel framework using resolvent metrics to unify and extend heat kernel estimates with minimal conditions, broadening applicability.
Findings
Unified treatment of heat kernel estimates
Extension to sub-Gaussian heat kernels
Minimal conditions for estimates
Abstract
Resolvent metrics are generalization of the resistance metric and provide unified treatment of heat kernel estimates of sub-Gaussian type under minimal conditions.
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Taxonomy
TopicsNonlinear Partial Differential Equations · Geometric Analysis and Curvature Flows · Numerical methods in inverse problems