Results 141 to 150 of about 280,466 (259)
Eigenvalue estimates for the fractional Laplacian on lattice subgraphs [PDF]
We introduce the the fractional Laplacian on a subgraph of a graph with Dirichlet boundary condition. For a lattice graph, we prove the upper and lower estimates for the sum of the first $k$ Dirichlet eigenvalues of the fractional Laplacian, extending ...
Wang, Jiaxuan
core
Walk on Spheres for Fractional Laplacian
, 2016 <p>Matlab codes to solve fractional Laplacian problem with exterior data. See</p> <p>Unbiased `walk-on-spheres' Monte Carlo methods for the fractional Laplacian by Andreas E.
Shardlow, Tony +3 more
core +1 more source
Journal of Applied Clinical Medical Physics, Volume 27, Issue 11, November 2026.Abstract Purpose Surface guided radiotherapy (SGRT) provides nonionizing motion monitoring but lacks direct correlation with internal dosimetric changes. Purely data‐driven models for surface‐to‐internal deformation prediction often yield biomechanically implausible results.
Xixue Tang, Minmin Qiu, Yongjin Deng
wiley +1 more source
Singular critical elliptic problems with fractional Laplacian
Electronic Journal of Differential Equations, 2015 In this article, we consider the existence of solutions of the critical problem with a Hardy term for fractional Laplacian $$\displaylines{ (-\Delta)^s u -\mu \frac u{|x|^{2s}}= u^{2^*_s-1} \quad \text{in }\Omega,\cr u>0 \quad \text{in }\Omega, \cr
Xueqiao Wang, Jianfu Yang
doaj
Fractional Brownian motion via fractional Laplacian
A new and short proof of existence of the fractional Brownian field with exponent [alpha]/2,[alpha][set membership, variant](0,2], is given in terms of the fractional power of the Laplacian.Fractional Brownian motion Fractional ...
Bojdecki, Tomasz, Gorostiza, Luis G.
core
Femtosecond‐Laser‐Induced Selective Etching in a Mid‐Infrared Glass
Advanced Photonics Research, Volume 7, Issue 11, November 2026.Using femtosecond‐laser‐assisted chemical etching in 1 mol L−1 HCl, selective etching is demonstrated for the first time in a MIR‐transmitting gallate glass, yielding etching rates exceeding 4000 µm h−1 and aspect ratios up to ~15. Thermal modeling and annealing experiments suggest the involvement of oxygen‐related defects in the etching mechanism ...
Yann Serre +5 more
wiley +1 more source
Higher differentiability for the fractional p-Laplacian
Mathematische AnnalenAbstract In this work, we study the higher differentiability of solutions to the inhomogeneous fractional p-Laplace equation under different regularity assumptions on the data. In the superquadratic case, we extend and sharpen several previous results, while in the subquadratic regime our results constitute completely novel developments even ...
Diening, Lars +3 more
openaire +3 more sources
Magnetic Resonance in Medicine, Volume 96, Issue 5, Page 2412-2425, November 2026.ABSTRACT Purpose To create a realistic in silico brain phantom for positive and negative magnetic susceptibility that incorporates susceptibility anisotropy, enabling the evaluation of how susceptibility anisotropy influences susceptibility separation algorithm performance.
Daniel Ridani +2 more
wiley +1 more source
Journal of Function SpacesThe p-Laplacian fractional differential equations have been studied extensively because of their numerous applications in science and engineering.
Wangjin Yao, Huiping Zhang
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Null controllability from the exterior of fractional parabolic-elliptic coupled systems
Electronic Journal of Differential Equations, 2020 We analyze the null controllability properties from the exterior of two parabolic-elliptic coupled systems governed by the fractional Laplacian $(-d_x^2)^s$, $s\in(0,1)$, in one space dimension.
Carole Louis-Rose
doaj