Fractional Hardy-type and trace theorems for nonlocal function spaces with heterogeneous localization

DOI10.1142/S0219530521500329zbMath1498.46043arXiv2103.09387OpenAlexW4220967436WikidataQ113776803 ScholiaQ113776803MaRDI QIDQ5075580

Qiang Du, Tadele Mengesha, Xiaochuan Tian

Publication date: 16 May 2022

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.09387

zbMATH Keywords

trace mapHardy inequalitytrace inequalitynonlocal operatornonlocal function spacevanishing horizon

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Regularity of solutions in optimal control (49N60) Integral operators (47G10) PDEs in connection with mechanics of deformable solids (35Q74) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (5)

Local and Nonlocal Energy-Based Coupling Models ⋮ Non-local gradients in bounded domains motivated by continuum mechanics: fundamental theorem of calculus and embeddings ⋮ Viscosity Solutions for Nonlocal Equations with Space-Dependent Operators ⋮ A Numerical Framework for Nonlinear Peridynamics on Two-Dimensional Manifolds Based on Implicit P-(EC)\(^{ {\boldsymbol k}}\) Schemes ⋮ On the fractional Korn inequality in bounded domains: counterexamples to the case \(ps < 1\)

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