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Longer titles found: Laplace operators in differential geometry (view), Discrete Laplace operator (view)

searching for Laplace operator 48 found (200 total)

Biharmonic equation (822 words) [view diff] no match in snippet view article find links to article

In mathematics, the biharmonic equation is a fourth-order partial differential equation which arises in areas of continuum mechanics, including linear

Infinity Laplacian (1,258 words) [view diff] no match in snippet view article find links to article

mathematics, the infinity Laplace (or L ∞ {\displaystyle L^{\infty }} -Laplace) operator is a 2nd-order partial differential operator, commonly abbreviated

Subbaramiah Minakshisundaram (557 words) [view diff] no match in snippet view article find links to article

paper together called, Some properties of the eigenfunctions of the Laplace-operator on Riemannian manifolds, in which they introduced the Minakshisundaram-Pleijel

Cottrell equation (409 words) [view diff] exact match in snippet view article find links to article

cylindrical, and rectangular geometries by using the corresponding Laplace operator and boundary conditions in conjunction with Fick's second law of diffusion

Dirichlet eigenvalue (1,071 words) [view diff] exact match in snippet view article find links to article

eigenvalues: eigenvalues for the corresponding Neumann problem. The Laplace operator Δ appearing in (1) is often known as the Dirichlet Laplacian when it

Maass wave form (8,499 words) [view diff] exact match in snippet view article find links to article

_{2}(\mathbb {R} )} as modular forms. They are eigenforms of the hyperbolic Laplace operator Δ {\displaystyle \Delta } defined on H {\displaystyle \mathbb {H} }

Newtonian potential (889 words) [view diff] exact match in snippet view article find links to article

the Newtonian potential of a function is a partial inverse to the Laplace operator. Then w will be a classical solution, that is twice differentiable

Maria Korovina (151 words) [view diff] exact match in snippet view article find links to article

applications to the construction of self-adjoint extensions of the Laplace operator» for the degree of Doctor of Physical and Mathematical Sciences (1992)

Hans Maass (406 words) [view diff] exact match in snippet view article find links to article

(as analytic functions do), they are eigenfunctions of the invariant Laplace operator; Maaß therefore called them waveforms. Internationally, these forms

Electromagnetic wave equation (3,099 words) [view diff] exact match in snippet view article find links to article

in a medium with permeability μ, and permittivity ε, and ∇2 is the Laplace operator. In a vacuum, vph = c0 = 299792458 m/s, a fundamental physical constant

Flow graph (mathematics) (1,131 words) [view diff] exact match in snippet view article

with gains, branch gains or transmittances, or even functions of the Laplace operator s, in which case they are called transfer functions. There is a close

Slater-type orbital (2,484 words) [view diff] exact match in snippet view article find links to article

\partial r}=\left[{\frac {(n-1)}{r}}-\zeta \right]R(r)} The radial Laplace operator is split in two differential operators ∇ 2 = 1 r 2 ∂ ∂ r ( r 2 ∂ ∂

Steven Zelditch (850 words) [view diff] exact match in snippet view article find links to article

He has done research on the spectral and scattering theory of the Laplace operator on Riemannian manifolds and especially the asymptotic and distribution

Jürg Peter Buser (676 words) [view diff] exact match in snippet view article find links to article

Laplaceoperators auf kompakten Flächen (Studies on the first eigenvalue of the Laplace operator on compact surfaces). As a post-doctoral student he was at the University

Hearing the shape of a drum (1,706 words) [view diff] exact match in snippet view article find links to article

1017/S0305004100074053, S2CID 33567484 Milnor, John (1964), "Eigenvalues of the Laplace operator on certain manifolds", Proceedings of the National Academy of Sciences

Jeff Cheeger (957 words) [view diff] exact match in snippet view article find links to article

Michael Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds. Journal of Differential

Kronecker limit formula (536 words) [view diff] exact match in snippet view article find links to article

{Z} \tau } : it says that the zeta-regularized determinant of the Laplace operator Δ {\displaystyle \Delta } associated to the flat metric 1 y | d z |

Åke Pleijel (106 words) [view diff] no match in snippet view article find links to article

Pleijel, Å. (1949), "Some properties of the eigenfunctions of the Laplace-operator on Riemannian manifolds", Canadian Journal of Mathematics, 1 (3): 242–256

Michael E. Taylor (802 words) [view diff] exact match in snippet view article find links to article

Taylor. Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds. J. Differential

Brown measure (326 words) [view diff] exact match in snippet view article find links to article

which is called the Brown measure of A . {\displaystyle A.} Here the Laplace operator ∇ 2 {\displaystyle \nabla ^{2}} is complex. The subharmonic function

L² cohomology (541 words) [view diff] exact match in snippet view article find links to article

"On the Hodge theory of Riemannian pseudomanifolds". Geometry of the Laplace operator. Proc. Sympos. Pure Math. Vol. 36. Providence, R.I.: American Mathematical

Proto-value function (1,082 words) [view diff] exact match in snippet view article find links to article

{\displaystyle A} is the adjacency matrix. The spectral analysis of the Laplace operator on a graph consists of finding the eigenvalues and eigenfunctions which

Ward Leonard control (1,312 words) [view diff] exact match in snippet view article find links to article

{\displaystyle G} = rotational inductance constant s {\displaystyle s} = Laplace operator Eq. 1: The generator field equation V g f = R g f I g f + L g f I g

Vijay Kumar Patodi (405 words) [view diff] case mismatch in snippet view article find links to article

papers based on his Ph.D. thesis, "Curvature and Eigenforms of the Laplace Operator" (Journal of Differential Geometry), and "An Analytical Proof of the

Vector (mathematics and physics) (2,694 words) [view diff] exact match in snippet view article

nabla symbol ∇ {\displaystyle \nabla } Vector Laplacian, the vector Laplace operator, denoted by ∇ 2 {\displaystyle \nabla ^{2}} , is a differential operator

Potential vorticity (3,795 words) [view diff] exact match in snippet view article find links to article

fluid, the vorticity distribution controls the stream function by a Laplace operator, ζ = ∇ 2 Ψ , {\displaystyle {\zeta ={\nabla ^{2}\Psi }},} (21) where

Corner detection (8,962 words) [view diff] exact match in snippet view article find links to article

adapted corner points with automatic scale selection (the "Harris-Laplace operator") are computed from the points that are simultaneously: spatial maxima

Peter Li (mathematician) (654 words) [view diff] case mismatch in snippet view article

manifold". In Osserman, Robert; Weinstein, Alan (eds.). Geometry of the Laplace Operator. University of Hawaii, Honolulu (March 27–30, 1979). Proceedings of

Virginie Bonnaillie-Noël (536 words) [view diff] exact match in snippet view article find links to article

G. (2010). On generalized Ventcel's type boundary conditions for Laplace operator in a bounded domain. SIAM journal on mathematical analysis, 42(2),

Zeta function regularization (2,125 words) [view diff] no match in snippet view article find links to article

Pleijel, Å. (1949), "Some properties of the eigenfunctions of the Laplace-operator on Riemannian manifolds", Canadian Journal of Mathematics, 1 (3): 242–256

Hamiltonian (quantum mechanics) (4,899 words) [view diff] exact match in snippet view article

\nabla ^{2}} . In three dimensions using Cartesian coordinates the Laplace operator is ∇ 2 = ∂ 2 ∂ x 2 + ∂ 2 ∂ y 2 + ∂ 2 ∂ z 2 {\displaystyle \nabla ^{2}={\frac

Dirac–Kähler equation (1,677 words) [view diff] exact match in snippet view article find links to article

equation acquired if the Dirac operator remained the square root of the Laplace operator, a property not shared by the Dirac equation in curved spacetime. This

Arithmetic hyperbolic 3-manifold (1,719 words) [view diff] exact match in snippet view article find links to article

three-manifold (derived from a quaternion algebra) the spectrum of the Laplace operator is contained in [ 1 , + ∞ ) {\displaystyle [1,+\infty )} . Many of

Selberg trace formula (2,516 words) [view diff] exact match in snippet view article find links to article

the Laplace–Beltrami operator on X is discrete and real, since the Laplace operator is self adjoint with compact resolvent; that is 0 = μ 0 < μ 1 ≤ μ 2

Yongjie Jessica Zhang (960 words) [view diff] exact match in snippet view article find links to article

Xinge; Xu, Guoliang; Zhang, Yongjie Jessica (January 2016), "Secondary Laplace operator and generalized Giaquinta–Hildebrandt operator with applications on

Klein quartic (3,263 words) [view diff] exact match in snippet view article find links to article

conjectured that it maximises the first positive eigenvalue of the Laplace operator among all compact Riemann surfaces of genus 3 with constant negative

Mikhael Gromov (mathematician) (3,749 words) [view diff] exact match in snippet view article

"Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds". Journal of Differential

Scalar field theory (4,903 words) [view diff] exact match in snippet view article find links to article

=\partial _{t}^{2}\phi -\nabla ^{2}\phi +m^{2}\phi =0~,} where ∇2 is the Laplace operator. This is the Klein–Gordon equation, with the interpretation as a classical

Atmospheric tide (3,206 words) [view diff] exact match in snippet view article find links to article

{\displaystyle {L}{\Theta }_{n}+\varepsilon _{n}{\Theta }_{n}=0} with Laplace operator L = ∂ ∂ μ [ ( 1 − μ 2 ) ( η 2 − μ 2 ) ∂ ∂ μ ] − 1 η 2 − μ 2 [ − s η

Atiyah–Singer index theorem (7,529 words) [view diff] exact match in snippet view article find links to article

symbol is nonzero whenever at least one y is nonzero. Example: The Laplace operator in k variables has symbol y 1 2 + ⋯ + y k 2 {\displaystyle y_{1}^{2}+\cdots

Blob detection (4,040 words) [view diff] exact match in snippet view article find links to article

Gaussian operator, the determinant of the Hessian and the Hessian-Laplace operator (see also Harris-Affine and Hessian-Affine). The determinant of the

Solid harmonics (3,707 words) [view diff] exact match in snippet view article find links to article

compatible with the S O ( 2 ) {\displaystyle SO(2)} -action because the Laplace operator is rotationally invariant). These are the complex solid harmonics:

Vladimir Ilyin (mathematician) (1,334 words) [view diff] exact match in snippet view article

for his thesis «On convergence of expansions in eigenfunctions of Laplace operator». In 1960 he was appointed Professor of the Faculty of Physics at Moscow

Shing-Tung Yau (10,547 words) [view diff] case mismatch in snippet view article find links to article

manifold". In Osserman, Robert; Weinstein, Alan (eds.). Geometry of the Laplace Operator. University of Hawaii, Honolulu (March 27–30, 1979). Proceedings of

Harmonic tensors (5,485 words) [view diff] exact match in snippet view article find links to article

considered in using a ladder operator. It can be derived using the Laplace operator. Similar approach is known in the theory of special functions. The

Nordström's theory of gravitation (6,688 words) [view diff] exact match in snippet view article find links to article

dx^{a}\,dx^{b},\;\;\Delta \psi =0} where we can take the flat spacetime Laplace operator on the right. To first order in ψ {\displaystyle \psi } , the metric

Arithmetic Fuchsian group (3,844 words) [view diff] exact match in snippet view article find links to article

arithmetic surfaces the arithmetic data determines the spectrum of the Laplace operator Δ {\displaystyle \Delta } was pointed out by M. F. Vignéras and used

Four-gradient (8,619 words) [view diff] exact match in snippet view article find links to article

operator, also called the d'Alembertian or the wave operator, is the Laplace operator of Minkowski space. The operator is named after French mathematician