In this paper, we find some superharmonic functions, which relate to the convexity estimates for Green's function and the first eigenfunction of Laplace operator with homogeneous Dirichlet boundary conditions in bounded convex domains of R-n.Jia, Xiaohan...
英['aɪgənfʌŋkʃən] 美['aɪgənfʌŋkʃən] 是什么意思 n. 特征函数; 英英释义 Eigenfunction vibrating drum problem is, at any point in time, an eigenfunction of the Laplace operator on a disk.]] 以上来源于:Wikipedia ...
Laplace Operator wavefunction ψ Eigenvalue Problem View all Topics Recommended publications Journal of Differential Equations Journal Applied Mathematics and Computation Journal Nonlinear Analysis Journal Journal of Mathematical Analysis and Applications JournalBrowse books and journals Featured Authors Gao, Yit...
Find the five smallest eigenvalues and eigenfunctions of a Laplace equation on a square torus with a Dirichlet constraint. 在狄利克雷约束下求拉普拉斯方程在一个矩形环面上最小的五个周期特征值和特征函数. ParaCrawl Corpus \[ScriptCapitalB] = DirichletCondition[u[x, y] == 0, True]; Compute ...
WefirstrecallthattheassociatedLaplace-Beltramioperator∆=∆ g ,haseigenvalues {−λ 2 ν },where0≤λ 2 0 ≤λ 2 1 ≤λ 2 2 ≤...arecountedwithmultiplicity.Let{φν (x)}bean associatedorthonormalbasisofL 2 -normalizedeigenfunctions.Ifλ 2 isinthespectrumof −∆,letV λ ={φ:...
On a compact Riemannian manifold (Vm, g), we consider the second order positive operator , where Δb is the Laplace-Beltrami operator and b is a Morse-Smale (MS) field, a small parameter. We study the measures which are the limits of the normalized first eigenfunctions of L as goes to...
4) characteristic value of operator 算子特征值 例句>> 5) eigenvalue partial derivative 特征值偏导数6) Vector valued characteristic function 向量值特征函数补充资料:偏微分算子的特征值与特征函数 由边界固定的膜振动引出的拉普拉斯算子的特征值问题:是一个典型的偏微分算子的特征值问题,这里x=(x1,x2);...
In this paper, we find some superharmonic functions, which relate to the convexity estimates for Green's function and the first eigenfunction of Laplace operator with homogeneous Dirichlet boundary conditions in bounded convex domains of R n ....
We describe the spectral projection of the LaplaceBeltrami operator in n-dimensional hyperbolic space by studying its resolvent as an analytic operator-valued function and applying the technique of contour integration. As a result an integral formula is established for the associated Legendre function...
Mandible shape modeling using the second eigenfunction of the Laplace-Beltrami operator. In: Proceedings of SPIE Medical Imaging, p. 79620Z.Seo, S., Chung, M.K., Whyms, B.J. and Vorperian, H.K. (2011) Mandible Shape Modeling Using the Second Eigenfunction of the Laplace-Beltrami ...