Heat trace of non-local operators

DOI10.1112/jlms/jds047zbMath1270.35142arXiv1201.2171OpenAlexW2012293415MaRDI QIDQ4907988

Rodrigo Bañuelos, Selma Yıldırım Yolcu

Publication date: 27 February 2013

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.2171

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) One-parameter semigroups and linear evolution equations (47D06) A priori estimates in context of PDEs (35B45) Stable stochastic processes (60G52) Heat kernel (35K08)

Related Items (14)

Heat content estimates over sets of finite perimeter ⋮ Progressive intrinsic ultracontractivity and heat kernel estimates for non-local Schrödinger operators ⋮ Universal bounds for fractional Laplacian on a bounded open domain in \({\mathbb{R}}^n \) ⋮ A method of rotations for Lévy multipliers ⋮ Heat content estimates for the fractional Schrödinger operator \((-\Delta)^{\frac{\alpha}{2}} + c1_{\Omega}\), \(c > 0\) ⋮ Trace asymptotics for fractional Schrödinger operators ⋮ Sharper estimates on the eigenvalues of Dirichlet fractional Laplacian ⋮ Heat content for stable processes in domains of \(\mathbb {R}^d\) ⋮ A decomposition for additive functionals of Lévy processes ⋮ Heat content and small time asymptotics for Schrödinger operators on \(\mathbb R^d\) ⋮ Decay of harmonic functions for discrete time Feynman--Kac operators with confining potentials ⋮ Refined eigenvalue bounds on the Dirichlet fractional Laplacian ⋮ The partition function of the Dirichlet operator \(\mathcal{D}_{2 s} = \sum_{i = 1}^d(-\partial_i^2)^s\) on a \(d\)-dimensional rectangle cavity ⋮ Pointwise eigenfunction estimates and intrinsic ultracontractivity-type properties of Feynman-Kac semigroups for a class of Lévy processes

This page was built for publication: Heat trace of non-local operators