Construction and heat kernel estimates of generalstable-like Markov processes
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Publication:5029011
DOI10.4064/dm824-8-2021zbMath1485.60072arXiv2005.08491OpenAlexW3209918037MaRDI QIDQ5029011
Alexei M. Kulik, Rene L. Schilling, Viktoria P. Knopova
Publication date: 11 February 2022
Published in: Dissertationes Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.08491
fundamental solutionLévy processstable-like processheat kernel estimateparametrix constructionvariable order of differentiation
Continuous-time Markov processes on general state spaces (60J25) Pseudodifferential operators as generalizations of partial differential operators (35S05) Fundamental solutions to PDEs (35A08) Stable stochastic processes (60G52) Transition functions, generators and resolvents (60J35) Parametrices in context of PDEs (35A17)
Related Items (11)
On weak solution of SDE driven by inhomogeneous singular Lévy noise ⋮ On recurrence and transience of some Lévy-type processes in ℝ ⋮ Homogenization of non-symmetric jump processes ⋮ Maximal inequalities and some applications ⋮ General Law of iterated logarithm for Markov processes: Liminf laws ⋮ Fundamental solution for super-critical non-symmetric Lévy-type operators ⋮ On ergodic properties of some Lévy-type processes ⋮ MFO-RIMS tandem workshop: Nonlocality in analysis, probability and statistics. Abstracts from the MFO-RIMS tandem workshop held March 20--26, 2022 ⋮ Heat kernels for time-dependent non-symmetric mixed Lévy-type operators ⋮ Heat kernel of anisotropic nonlocal operators ⋮ Heat kernel of supercritical nonlocal operators with unbounded drifts
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