Heat Kernels for Non-symmetric Non-local Operators

DOI10.1515/9783110571561-003zbMath1404.35221arXiv1703.08924OpenAlexW2995047796MaRDI QIDQ4646359

Xicheng Zhang, Zhen-Qing Chen

Publication date: 11 January 2019

Published in: Recent Developments in Nonlocal Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.08924

zbMATH Keywords

pseudo-differential operatornon-local operatorLévy systemdiscontinuous Markov processheat kernel estimatediffusion with jumps

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Diffusion processes (60J60) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Heat kernel (35K08)

Related Items (12)

Heat kernel for non-local operators with variable order ⋮ Homogenization of non-symmetric jump processes ⋮ Fundamental solution for super-critical non-symmetric Lévy-type operators ⋮ Heat kernels for time-dependent non-symmetric mixed Lévy-type operators ⋮ Feynman--Kac Transform for Anomalous Processes ⋮ Heat kernels of non-symmetric jump processes with exponentially decaying jumping kernel ⋮ Heat kernels of non-symmetric Lévy-type operators ⋮ Heat kernel estimates for symmetric jump processes with mixed polynomial growths ⋮ Uniqueness in law for stable-like processes of variable order ⋮ Estimates on transition densities of subordinators with jumping density decaying in mixed polynomial orders ⋮ Strong solutions of stochastic differential equations with square integrable drift ⋮ Infinitely many solutions for fractional elliptic systems involving critical nonlinearities and Hardy potentials

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