A class of nonlocal hypoelliptic operators and their extensions
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Publication:5014744
DOI10.1512/iumj.2021.70.8635zbMath1487.35195arXiv1811.02968OpenAlexW3210724358MaRDI QIDQ5014744
Nicola Garofalo, Giulio Tralli
Publication date: 8 December 2021
Published in: Indiana University Mathematics Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.02968
One-parameter semigroups and linear evolution equations (47D06) Hypoelliptic equations (35H10) Fractional partial differential equations (35R11)
Related Items (14)
Nonlocal Harnack inequalities in the Heisenberg group ⋮ Hardy-Littlewood-Sobolev inequalities for a class of non-symmetric and non-doubling hypoelliptic semigroups ⋮ Feeling the heat in a group of Heisenberg type ⋮ On the limiting behaviour of some nonlocal seminorms: a new phenomenon ⋮ Nonlocal isoperimetric inequalities for Kolmogorov-Fokker-Planck operators ⋮ Hölder continuity and boundedness estimates for nonlinear fractional equations in the Heisenberg group ⋮ Besov capacity for a class of nonlocal hypoelliptic operators and its applications ⋮ Scaling limit for a second-order particle system with local annihilation ⋮ Unnamed Item ⋮ Two classical properties of the Bessel quotient 𝐼_{𝜈+1}/𝐼_{𝜈} and their implications in pde’s ⋮ Functional inequalities for a class of nonlocal hypoelliptic equations of Hörmander type ⋮ Some extension results for nonlocal operators and applications ⋮ New Brezis-van Schaftingen-Yung-Sobolev type inequalities connected with maximal inequalities and one parameter families of operators ⋮ On local regularity estimates for fractional powers of parabolic operators with time-dependent measurable coefficients
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