Extension of Reilly formula with applications to eigenvalue estimates for drifting Laplacins
Li Ma, Sheng-hua Du
TL;DR
This paper extends the Reilly formula for drifting Laplacian operators on compact Riemannian manifolds and applies it to derive new eigenvalue estimates, broadening previous theoretical results.
Contribution
The paper introduces an extended Reilly formula for drifting Laplacians and applies it to improve eigenvalue estimates on manifolds with boundary.
Findings
Extended Reilly formula for drifting Laplacian
New eigenvalue bounds for drifting Laplacians
Generalization of previous eigenvalue estimates
Abstract
In this paper, we extend the Reilly formula for drifting Laplacian operator and apply it to study eigenvalue estimate for drifting Laplacian operators on compact Riemannian manifolds boundary. Our results on eigenvalue estimates extend previous results of Reilly and Choi and Wang.
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Taxonomy
TopicsMathematical Biology Tumor Growth · Diffusion and Search Dynamics · Medical Imaging Techniques and Applications