Spectral heat content for Lévy processes

DOI10.1002/mana.201800035zbMath1472.35209arXiv1705.09463OpenAlexW3106029020WikidataQ114696387 ScholiaQ114696387MaRDI QIDQ5378438

Hyunchul Park, Tomasz Grzywny, Renming Song

Publication date: 29 May 2019

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.09463

zbMATH Keywords

infinitesimal generatorsmall time asymptotic behaviorintegrable perturbations to the Lévy measure

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Asymptotic behavior of solutions to PDEs (35B40) One-parameter semigroups and linear evolution equations (47D06) Heat equation (35K05)

Related Items (10)

Spectral heat content for \(\alpha \)-stable processes in \({C^{1,1}}\) open sets ⋮ Higher order terms of the spectral heat content for killed subordinate and subordinate killed Brownian motions related to symmetric \(\alpha\)-stable processes in \(\mathbb{R}\) ⋮ Large-time and small-time behaviors of the spectral heat content for time-changed stable processes ⋮ Spectral heat content on a class of fractal sets for subordinate killed Brownian motions ⋮ Heat content estimates for the fractional Schrödinger operator \((-\Delta)^{\frac{\alpha}{2}} + c1_{\Omega}\), \(c > 0\) ⋮ A unified approach to the small-time behavior of the spectral heat content for isotropic Lévy processes ⋮ Spectral heat content for time-changed killed Brownian motions ⋮ Small time asymptotics of spectral heat contents for subordinate killed Brownian motions related to isotropic α‐stable processes ⋮ On the heat content for the Poisson kernel over the unit ball in the euclidean space ⋮ On the asymptotic expansion of the heat content for isotropic \(\alpha \)-stable processes over convex bodies, \(0<\alpha <2\)

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