Results 161 to 170 of about 76,384 (242)

Schauder estimates for parabolic p$p$‐Laplace systems

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We establish the local Hölder regularity of the spatial gradient of bounded weak solutions u:ET→Rk$u\colon E_T\rightarrow \mathbb {R}^k$ to the nonlinear system of parabolic type ∂tu−div(a(x,t)μ2+|Du|2p−22Du)=0inET,$$\begin{equation*} \partial _tu-\operatorname{div}{\Big(a(x,t){\left(\mu ^2+|Du|^2\right)}^\frac{p-2}{2}Du\Big)}=0 \qquad \mbox ...
Verena Bögelein, Frank Duzaar, Ugo Gianazza, Naian Liao, Christoph Scheven   +4 more
wiley   +1 more source

The G -invariant graph Laplacian part II: Diffusion maps. [PDF]

Appl Comput Harmon Anal
Rosen E, Cheng X, Shkolnisky Y.
europepmc   +1 more source

Scattering theory for difference equations with operator coefficients

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We investigate a class of second‐order difference equations featuring operator‐valued coefficients with the aim of approaching problems of stationary scattering theory. We focus on various compact perturbations of the discrete Laplacian given in a Hilbert space of bi‐infinite square‐summable sequences with entries from a fixed Hilbert space ...
David Sher, Luis Silva, Boris Vertman, Monika Winklmeier   +3 more
wiley   +1 more source

Bi-stochastically normalized graph Laplacian: convergence to manifold Laplacian and robustness to outlier noise. [PDF]

Inf inference
Cheng X, Landa B.
europepmc   +1 more source

PCA via joint graph Laplacian and sparse constraint: Identification of differentially expressed genes and sample clustering on gene expression data. [PDF]

BMC Bioinformatics, 2019
Feng CM, Xu Y, Hou MX, Dai LY, Shang JL.
europepmc   +1 more source

Liouville properties for differential inequalities with (p,q)$(p,q)$ Laplacian operator

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract In this paper, we establish several Liouville‐type theorems for a class of nonhomogenenous quasilinear inequalities. In the first part, we prove various Liouville results associated with nonnegative solutions to Ps$P_s$ −Δpu−Δqu⩾us−1inΩ,$$\begin{equation} -\Delta _p u-\Delta _q u\geqslant u^{s-1} \, \text{ in }\, \Omega, \end{equation}$$where ...
Mousomi Bhakta, Anup Biswas, Roberta Filippucci   +2 more
wiley   +1 more source

The G -invariant graph Laplacian Part I: Convergence rate and eigendecomposition. [PDF]

Appl Comput Harmon Anal
Rosen E, Hoyos P, Cheng X, Kileel J, Shkolnisky Y.   +4 more
europepmc   +1 more source

Discrete analogues of second‐order Riesz transforms

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract Discrete analogues of classical operators in harmonic analysis have been widely studied, revealing deep connections with areas such as ergodic theory and analytic number theory. This line of research is commonly known as Discrete Analogues in Harmonic Analysis (DAHA).
Rodrigo Bañuelos, Daesung Kim
wiley   +1 more source

Cauchy hyper-graph Laplacian nonnegative matrix factorization for single-cell RNA-sequencing data analysis. [PDF]

BMC Bioinformatics
Wang GF, Shen L.
europepmc   +1 more source