Results 201 to 210 of about 1,130,981 (257)

Fractional Laplace Operator and Meijer G-function

, 2015
We significantly expand the number of functions whose image under the fractional Laplace operator can be computed explicitly. In particular, we show that the fractional Laplace operator maps Meijer G-functions of $$|x|^2$$|x|2, or generalized ...
Bartłomiej Dyda, A. Kuznetsov, M. Kwaśnicki   +2 more
semanticscholar   +1 more source

A nonholonomic Laplace operator

Journal of Soviet Mathematics, 1993
See the review in Zbl 0779.53029.
Vershik, A. M., Gershkovich, V. Ya.
openaire   +2 more sources

Laplace operator with δ-like potentials

Russian Mathematics, 2014
Let \(\Omega \) be a simply connected domain with smooth boundary in \(\mathbb R^2\), and \(M=[x_0,y_0]\) be a fixed inner point of the domain \(\Omega \). Denote \(\Omega_0 =\Omega \setminus \{ M\} \). Denote by \(G(x,y,x_0,y_0)\) the Green function of the Dirichlet problem for the Laplace equation corresponding to \(\Omega \) and \([x_0,y_0]\).
Kanguzhin, B. E., Nurakhmetov, D. B., Tokmagambetov, N. E.   +2 more
openaire   +1 more source

Laplace-Radon Integral Operators

1994
Laplace-Radon integral operators studied in this chapter were designed to supply asymptotic solutions (w.r.t. differentability) to differential equations on complex manifolds. Prior to considering these operators in general let us describe the representation of singular solutions to differential equations we intend to use in our constructions.
Boris Sternin, Victor Shatalov
openaire   +1 more source

Viewing the Steklov eigenvalues of the Laplace operator as critical Neumann eigenvalues

, 2014
We consider the Steklov eigenvalues of the Laplace operator as limiting Neumann eigenvalues in a problem of boundary mass concentration. We discuss the asymptotic behavior of the Neumann eigenvalues in a ball and we deduce that the Steklov eigenvalues ...
P. D. Lamberti, Luigi Provenzano
semanticscholar   +1 more source

On Problems Driven by the $$(p(\cdot ),q(\cdot ))$$-Laplace Operator

, 2020
C. Vetro, F. Vetro
semanticscholar   +1 more source

An equivalence theorem for a K-functional constructed by Beltrami–Laplace operator on symmetric spaces

, 2020
S. El Ouadih
semanticscholar   +1 more source

The Laplace Operator

2023
Yaiza Canzani, Jeffrey Galkowski
openaire   +1 more source

MULTIPLE EIGENVALUES OF THE LAPLACE OPERATOR

Mathematics of the USSR-Sbornik, 1988
The estimates from above for the multiplicity of the eigenvalues of the Schrödinger operators on compact Riemannian two-dimensional manifolds are obtained. The paper contains also several examples illustrating the sharpness of the results.
openaire   +2 more sources

Two Theorems Concerning the Laplace Operator

American Journal of Physics, 1963
A theorem is derived which gives the mean value of a well-behaved function in a small spherical volume in terms of the value of the function and its Laplacian at the center of the sphere. The magnitude of ψ(x,y,z) at the center exceeds the mean value at neighboring points or falls short of the mean value according to whether −∇2ψ is positive or ...
openaire   +1 more source