Skip to content
DraconiticResearch
Search Sources API
181,716 studies31 sourcesUpdated 59 min ago
PreprintarXiv licencearXiv

Almost L∞-stability of the Ritz projection for the integral fractional Laplacian with 0<s≤ 1/2

  • Jia Li
  • Shuonan Wu
Open at sourcePDFDOICite

Abstract

For 0<s≤ 1/2 and d≥ 1, the H̃s-projection onto piecewise linear finite element spaces on quasi-uniform meshes of a bounded Lipschitz domain in ℝd with a uniform exterior ball condition is almost stable in the maximum norm. The mesh domain need not coincide with the original domain.

Related

  1. A Coupled System of p-Laplacian Langevin Equations with ψ-Hilfer Fractional Derivatives and Lebesgue–Stieltjes Integral Boundary Conditions in Weighted Banach Spaces
    Lamya Almaghamsi
    MathematicsPeer-reviewedCC BY 4.0General mathematicsCrossref
  2. Ulam–Hyers stability for hybrid differential equations with mixed fractional derivatives and the μ-Laplacian operator
    Maazouz Kadda, Ouardani Abderrahmane, Bechayeb Rabah +2
    Open MathematicsPeer-reviewedCC BYFull textGeneral mathematicsDOAJ
  3. Sharp lower bound of the first eigenvalue of the p-Laplacian under integral Ricci curvature
    Shoo Seto
    arXivPreprintCC BY 4.0Full textAnalysis & PDEsGeometry & topologyarXiv
  4. On Faber-Krahn inequality for Dirichlet Fractional-Logarithmic Laplacian
    Huyuan Chen, Rui Chen, Bobo Hua
    arXivPreprintCC BY-SA 4.0Full textAnalysis & PDEsarXiv
  5. A Note on the Smoluchowski Coagulation-Fragmentation Equation with Fractional Laplacian
    Mattia Cantoni, Silvia Lorenzani
    arXivPreprintarXiv licenceFull textAnalysis & PDEsMathematical physicsarXiv

Cite

BibTeXRIS
BibTeX
@misc{li2026almost,
  title = {{Almost $L^\infty$-stability of the Ritz projection for the integral fractional Laplacian with $0<s\leq \tfrac12$}},
  author = {Jia Li and Shuonan Wu},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.11795},
  eprint = {2610.11795},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.11795},
}
RIS
TY  - UNPB
TI  - Almost L^∞-stability of the Ritz projection for the integral fractional Laplacian with 0<s≤ 1/2
AU  - Jia Li
AU  - Shuonan Wu
PY  - 2026
DA  - 2026/10/15
PB  - arXiv
DO  - 10.48550/arxiv.2610.11795
UR  - https://arxiv.org/abs/2610.11795
AB  - For 0<s≤ 1/2 and d≥ 1, the H̃^s-projection onto piecewise linear finite element spaces on quasi-uniform meshes of a bounded Lipschitz domain in ℝ^d with a uniform exterior ball condition is almost stable in the maximum norm. The mesh domain need not coincide with the original domain.
ER  -