Spectral Gap for the Cauchy Process on Convex, Symmetric Domains
From MaRDI portal
Publication:3424268
DOI10.1080/03605300600856188zbMath1123.60029OpenAlexW2110830658MaRDI QIDQ3424268
Rodrigo Bañuelos, Tadeusz Kulczycki
Publication date: 15 February 2007
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03605300600856188
Estimates of eigenvalues in context of PDEs (35P15) Stable stochastic processes (60G52) Variational methods for second-order elliptic equations (35J20)
Related Items
Spectral gap for stable process on convex planar double symmetric domains ⋮ Bounds for exit times of Brownian motion and the first Dirichlet eigenvalue for the Laplacian ⋮ Quantitative inequalities for the expected lifetime of Brownian motion ⋮ Trace estimates for stable processes ⋮ Generalized tight \(p\)-frames and spectral bounds for Laplace-like operators ⋮ Ten equivalent definitions of the fractional Laplace operator ⋮ Fractional calculus for power functions and eigenvalues of the fractional Laplacian
Cites Work
- Unnamed Item
- Intrinsic ultracontractivity and eigenfunction estimates for Schrödinger operators
- A sharp bound for the ratio of the first two eigenvalues of Dirichlet Laplacians and extensions
- A lower bound for the gap between the first two eigenvalues of Schrödinger operators on convex domains in \(\mathbb{S}^ n\) or \(\mathbb{R}^ n\)
- Intrinsic ultracontractivity and conditional gauge for symmetric stable processes
- Sharp inequalities for heat kernels of Schrödinger operators and applications to spectral gaps
- On the spectral gap for fixed membranes
- Stable processes have thorns
- The Cauchy process and the Steklov problem
- Spectral gaps and rates to equilibrium for diffusions in convex domains
- Eigenvalue gaps for the Cauchy process and a Poincaré inequality
- On the shape of the ground state eigenfunction for stable processes
- Two-sided eigenvalue estimates for subordinate processes in domains
- A Brascamp-Lieb-Luttinger–type inequality and applications to symmetric stable processes