Traces on General Sets in ${R}^n$ for Functions with no Differentiability Requirements
DOI10.1137/20M1350170zbMath1481.46027arXiv2007.00863OpenAlexW3187637990MaRDI QIDQ5005968
Publication date: 12 August 2021
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.00863
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Integral operators (47G10) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)
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Cites Work
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- A new characterization of chord-arc domains
- Harmonic measure on sets of codimension larger than one
- Lebesgue and Sobolev spaces with variable exponents
- Traces of Sobolev functions on fractal type sets and characterization of extension domains
- Caratterizzazioni delle tracce sulla frontiera relative ad alcune classi di funzioni in \(n\) variabili
- From local kernel to nonlocal multiple-model image denoising
- Boundary behavior of harmonic functions in non-tangentially accessible domains
- The trace of Sobolev-Slobodeckij spaces on Lipschitz domains
- Quasiconformal mappings and extendability of functions in Sobolev spaces
- Fatou type theorems. Maximal functions and approach regions
- Traces of Besov, Triebel-Lizorkin and Sobolev spaces on metric spaces
- A trace theorem for Besov functions in spaces of homogeneous type
- The Neumann boundary problem for a nonlocal Cahn-Hilliard equation
- The nonlocal Cahn-Hilliard equation with singular potential: well-posedness, regularity and strict separation property
- Newtonian spaces: An extension of Sobolev spaces to metric measure spaces
- A note on Hajłasz-Sobolev spaces on fractals
- Sobolev spaces on an arbitrary metric space
- Reformulation of elasticity theory for discontinuities and long-range forces
- The Dirichlet problem in domains with lower dimensional boundaries
- Insulating layers of fractal type.
- A new elliptic measure on lower dimensional sets
- Square function estimates, the BMO Dirichlet problem, and absolute continuity of harmonic measure on lower-dimensional sets
- A T(1) theorem for fractional Sobolev spaces on domains
- Trace Theorems for a Class of Ramified Domains with Self-Similar Fractal Boundaries
- Elliptic Systems, Singular Sets and Dini Continuity
- Nonlocal Operators with Applications to Image Processing
- Diffusion and propagation problems in some ramified domains with a fractal boundary
- An Elementary Proof of a Characterization of Constant Functions
- Injectivity theorems in plane and space
- Besov Spaces on Closed Subsets of ℝ n
- Infinite Iterated Function Systems
- Nonlocal Modeling, Analysis, and Computation
- Dimensions and Measures in Infinite Iterated Function Systems
- A NONLOCAL VECTOR CALCULUS, NONLOCAL VOLUME-CONSTRAINED PROBLEMS, AND NONLOCAL BALANCE LAWS
- Topologically Based Fractional Diffusion and Emergent Dynamics with Short-Range Interactions
- Sobolev Spaces on Metric Measure Spaces
- Nonlocal Models with Heterogeneous Localization and Their Application to Seamless Local-Nonlocal Coupling
- On a non-local equation arising in population dynamics
- Trace Theorems for some Nonlocal Function Spaces with Heterogeneous Localization
- Nonlocal equations in bounded domains: a survey
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