Harnack and shift Harnack inequalities for degenerate (functional) stochastic partial differential equations with singular drifts

DOI10.1007/s10959-020-00989-zzbMath1483.60084arXiv1904.03369OpenAlexW3005181772MaRDI QIDQ2031013

Xing Huang, Wujun Lv

Publication date: 8 June 2021

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.03369

zbMATH Keywords

Harnack inequalitiesfunctional SPDEsdegenerate SPDEsHölder-Dini continuousZvonkin-type transform

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Systems of functional equations and inequalities (39B72) Singular perturbations of functional-differential equations (34K26)

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Harnack inequalities with power \(\pmb{p\in (1,+\infty )}\) for transition semigroups in Hilbert spaces

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