Results 91 to 100 of about 775 (185)

On the Laplace-Beltrami operator on the oscillator group

The oscillator groups play a distinguished role among all solvable simply connected Lie groups, since a result by A. Medina shows that they are, except for direct extensions with Euclidean groups, the only non- commutative groups in this class which do admit a bi-invariant Lorentzian metric. If G is an oscillator group, then there exists a basis \(T,X_
Müller, D., Ricci, F.
openaire   +1 more source

Well-Posed Problems for the Laplace–Beltrami Operator

Symmetry
Here, we study boundary value problems for the Laplace–Beltrami operator on a three-dimensional sphere with a circular cut, obtained by removing a smooth closed geodesic from S3 embedded in R4. The presence of the cut introduces singular perturbations of the domain, and we develop an analytical framework to characterize well-posed problems in this ...
Karlygash Dosmagulova, Baltabek Kanguzhin   +1 more
openaire   +1 more source

Finite element approximation of the Laplace-Beltrami operator on a surface with boundary. [PDF]

Numer Math (Heidelb), 2019
Burman E, Hansbo P, Larson MG, Larsson K, Massing A.   +4 more
europepmc   +1 more source

A novel cortical thickness estimation method based on volumetric Laplace-Beltrami operator and heat kernel. [PDF]

Med Image Anal, 2015
Wang G, Zhang X, Su Q, Shi J, Caselli RJ, Wang Y, Alzheimer’s Disease Neuroimaging Initiative.   +6 more
europepmc   +1 more source

Location of the axon initial segment assembly can be predicted from neuronal shape

iScience
Summary: The axon initial segment (AIS) is located at the proximal axon demarcating the boundary between axonal and somatodendritic compartments. The AIS facilitates the generation of action potentials and maintenance of neuronal polarity. In this study,
Zhuang Xu, Christopher N. Angstmann, Yuhuang Wu, Holly Stefen, Esmeralda Parić, Thomas Fath, Paul M.G. Curmi   +6 more
doaj   +1 more source

Existence and asymptotic behavior of solutions for Henon equations in hyperbolic spaces

Electronic Journal of Differential Equations, 2013
In this article, we consider the existence and asymptotic behavior of solutions for the Henon equation $$\displaylines{ -\Delta_{\mathbb{B}^N}u=(d(x))^{\alpha}|u|^{p-2}u, \quad x\in \Omega\cr u=0 \quad x\in \partial \Omega, }$$ where ...
Haiyang He, Wei Wang
doaj  

Nonlinear subelliptic Schrodinger equations with external magnetic field

Electronic Journal of Differential Equations, 2004
To account for an external magnetic field in a Hamiltonian of a quantum system on a manifold (modelled here by a subelliptic Dirichlet form), one replaces the the momentum operator $frac 1i d$ in the subelliptic symbol by $frac 1i d-alpha$, where ...
Kyril Tintarev
doaj  

On the convergence of nonlinear Beltrami type operators

Le Matematiche, 1986
One of the results proved is the following: if (fh ) is a sequence of K-quasiregular mappings, converging to f  in L1loc , whose jacobians verify a weak integrability condition, then the solutions of Dirichlet problems for the nonlinear Laplace-Beltrami ...
Riccardo De Arcangelis
doaj  

Discreteness of the spectrum of the Laplace-Beltrami operator

, 2007
We propose simple conditions equivalent to the discreteness of the spectrum of the Laplace-Beltrami operator on a class of Riemannian manifolds close to warped products. For this class of manifolds we establish a relationship between discreteness of the spectrum and stochastic incompleteness.
openaire   +2 more sources

Diffusion-Shock PDEs for Deep Learning on Position-Orientation Space. [PDF]

J Math Imaging Vis
Sherry FM, Schaefer K, Duits R.
europepmc   +1 more source