Results 11 to 20 of about 386,583 (330)
The tri-harmonic Neumann problem
In this article investigated the tri-harmonic Neumann function for the unit dics. For harmonics functions the Neumann’s boundary problem is well studied and solved under certain conditions through Neumann’s function, sometimes it is also called Green’s ...
S. Burgumbayeva
doaj +1 more source
Dirichlet and Neumann Boundary Value Problems for Dunkl Polyharmonic Equations
Dunkl operators are a family of commuting differential–difference operators associated with a finite reflection group. These operators play a key role in the area of harmonic analysis and theory of spherical functions.
Hongfen Yuan, Valery Karachik
doaj +1 more source
Boundedness of the gradient of a solution to the Neumann-Laplace problem in a convex domain [PDF]
It is shown that solutions of the Neumann problem for the Poisson equation in an arbitrary convex $n$-dimensional domain are uniformly Lipschitz. Applications of this result to some aspects of regularity of solutions to the Neumann problem on convex ...
Maz'ya, Vladimir
core +3 more sources
Inhomogeneous parabolic Neumann problems [PDF]
We study second order parabolic equations on Lipschitz domains subject to inhomogeneous Neumann (or, more generally, Robin) boundary conditions. We prove existence and uniqueness of weak solutions and their continuity up to the boundary of the parabolic cylinder.
openaire +2 more sources
Three Weak Solutions for an Anisotropic Variable Exponent Problem with Neumann Boundary Condition [PDF]
In the present work, we investigate an interval of real parameters $ \lambda $ for which the problem admits at least one nontrivial solution. Moreover we deal with the existence results of three solutions for anisotropic problems with variable exponents.
Tahereh Norouzi Ghara +3 more
doaj +1 more source
Three spectra problem for Stieltjes string equation and Neumann conditions
Spectral problems are considered which appear in description of small transversal vibrations of Stieltjes strings. It is shown that the eigenvalues of the Neumann-Neumann problem, i.e.
Anastasia Dudko, Vyacheslav Pivovarchik
doaj +1 more source
By using the generalised Dirichlet integral inequality with continuous functions on the boundary of the upper half-space, we prove new types of solutions for the Neumann problem with fast-growing continuous data on the boundary.
Wei Li, Muhammad Aslam Zaprawa
doaj +1 more source
Asymptotic analysis of a Neumann problem in a domain with cusp. Application to the collision problem of rigid bodies in a perfect fluid [PDF]
We study a two dimensional collision problem for a rigid solid immersed in a cavity filled with a perfect fluid. We are led to investigate the asymptotic behavior of the Dirichlet energy associated to the solution of a Laplace Neumann problem as the ...
Munnier, Alexandre, Ramdani, Karim
core +5 more sources
Dirichlet-Neumann and Neumann-Neumann Waveform Relaxation Algorithms for Parabolic Problems
We present a waveform relaxation version of the Dirichlet-Neumann and Neumann-Neumann methods for parabolic problems. Like the Dirichlet-Neumann method for steady problems, the method is based on a non-overlapping spatial domain decomposition, and the iteration involves subdomain solves with Dirichlet boundary conditions followed by subdomain solves ...
Gander M.J., Kwok F., Mandal B.
openaire +5 more sources
The Neumann Problem after Spencer [PDF]
Summary: When trying to extend the Hodge theory for elliptic complexes on compact closed manifolds to the case of compact manifolds with boundary one is led to a boundary value problem for the Laplacian of the complex which is usually referred to as Neumann problem.
Mera, Azal Jaafar Musa +1 more
openaire +3 more sources

