Some extension results for nonlocal operators and applications
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Publication:2050304
DOI10.1007/978-3-030-69236-0_9zbMath1472.35432OpenAlexW3184641264MaRDI QIDQ2050304
Publication date: 30 August 2021
Full work available at URL: https://doi.org/10.1007/978-3-030-69236-0_9
Harnack inequalityfractional LaplacianCarnot groupsMarchaud derivativeWeyl derivativeextension techniques
Cites Work
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- An extension problem for the fractional derivative defined by Marchaud
- Heat content for convolution semigroups
- Hitchhiker's guide to the fractional Sobolev spaces
- An extension problem for the CR fractional Laplacian
- Minimization of a fractional perimeter-Dirichlet integral functional
- Non-local fractional derivatives. Discrete and continuous
- Porous medium flow with both a fractional potential pressure and fractional time derivative
- Uniform estimates and limiting arguments for nonlocal minimal surfaces
- A new formulation of Harnack's inequality for nonlocal operators
- Gamma-convergence of nonlocal perimeter functionals
- \(BV\) functions and parabolic initial boundary value problems on domains
- Fractional powers of closed operators and the semigroups generated by them
- A remark on a Harnack inequality for dengerate parabolic equations
- Besov spaces and Sobolev spaces on a nilpotent Lie group
- Subelliptic estimates and function spaces on nilpotent Lie groups
- Weyl and Marchaud derivatives: a forgotten history
- Fractional Laplacians, perimeters and heat semigroups in Carnot groups
- Weighted Poincaré and Sobolev inequalities for vector fields satisfying Hörmander's condition and applications
- Heat kernel estimates for jump processes of mixed types on metric measure spaces
- Harnack inequality for fractional sub-Laplacians in Carnot groups
- Hypoelliptic second order differential equations
- Algorithms for the fractional calculus: a selection of numerical methods
- Maximum principles, extension problem and inversion for nonlocal one-sided equations
- Two Characterization of BV Functions on Carnot Groups via the Heat Semigroup
- Extension Problem and Harnack's Inequality for Some Fractional Operators
- Semi-Groups of Measures on Lie Groups
- Some Theorems on Stable Processes
- The local regularity of solutions of degenerate elliptic equations
- Harnack's Inequality for Degenerate Parabolic Equations
- The boundary Harnack principle for the fractional Laplacian
- Some properties of sub-Laplaceans
- Mean value and Harnack inequalities for degenerate parabolic equations
- Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
- A class of nonlocal hypoelliptic operators and their extensions
- Fractional thoughts
- An Extension Problem Related to the Fractional Laplacian
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