A Riemannian Off-Diagonal Heat Kernel Bound for Uniformly Elliptic Operators
Mark P. Owen
Abstract
We find a Gaussian off-diagonal heat kernel estimate for uniformly elliptic operators with measurable coefficients acting on regions Ω⊂eqN, where the order 2m of the operator satisfies N<2m. The estimate is expressed using certain Riemannian-type metrics, and a geometrical result is established allowing conversion of the estimate into terms of the usual Riemannian metric on Ω. Work of Barbatis is applied to find the best constant in this expression.
Create a lesson
Related papers
A note on the failure of Payne's inequality on manifolds with boundary
Davide Buoso, Vladimir Lotoreichik
Quantitative Pólya inequalities for annular sectors
Guowei Dai, Yingxin Sun
New Qualitative and Quantitative Estimates for Neumann Eigenvalues toward Pólya's Conjecture
Xiang He, Renjin Jiang, Fanghua Lin et al.
A note on the A.C. spectrum of limit-periodic Jacobi matrices
Moises Gomez Solis
Square-Root Profiles and Sharp Fourier Decay of Quasiperiodic Spectral Measures
Zhenfu Wang, Qi Zhou
Optimization Inverse Spectral Problem for the Schrödinger Operator on a Compact Graph
Valeev Nur