Results 41 to 50 of about 5,502 (166)

Numerical solution of Laplace’s equation in polar coordinates by a Fourier expansion and the finite difference scheme [PDF]

Revista Brasileira de Ensino de Física
The steady-state heat equation for a circular plate with Dirichlet boundary conditions has been solved using a method that combines Fourier expansion and a second-order finite difference scheme.
Jaime J.P. Carreño La Rosa, Alejandro D. Paredes Cabrel   +1 more
doaj   +1 more source

Boundary Estimates for a Degenerate Parabolic Equation with Partial Dirichlet Boundary Conditions [PDF]

The Journal of Geometric Analysis, 2017
We study the boundary regularity properties and derive a priori pointwise supremum estimates of weak solutions and their derivatives in terms of suitable weighted $L^2$-norms for a class of degenerate parabolic equations that satisfy homogeneous Dirichlet boundary conditions on certain portions of the boundary.
Epstein, Charles L., Pop, Camelia A.
openaire   +3 more sources

Transformations of Difference Equations II

Advances in Difference Equations, 2010
This is an extension of the work done by Currie and Love (2010) where we studied the effect of applying two Crum-type transformations to a weighted second-order difference equation with non-eigenparameter-dependent boundary conditions at the end points.
Currie Sonja, Love AnneD
doaj  

Simultaneous control for the heat equation with Dirichlet and Neumann boundary conditions

Comptes Rendus. Mathématique
It is well known that both the heat equation with Dirichlet or Neumann boundary conditions are null controlable as soon as the control acts in a non trivial domain (i.e. a set of positive measure).
Burq, Nicolas, Moyano, Ivan
doaj   +1 more source

Biharmonic Equations Under Dirichlet Boundary Conditions with Supercritical Growth

Advanced Nonlinear Studies, 2016
Abstract We prove nonexistence and uniqueness results of solutions for biharmonic equations under the Dirichlet boundary conditions on a smooth bounded domain. We carry on the work in [10] where the Navier boundary conditions were considered, we define the h-starlikeness of Ω with respect to the Dirichlet boundary conditions and a ...
Ben Omrane, Hanen, Ghedamsi, Mouna, Khenissy, Saïma   +2 more
openaire   +1 more source

New Well-Posed boundary conditions for semi-classical Euclidean gravity

Journal of High Energy Physics
We consider four-dimensional Euclidean gravity in a finite cavity. Dirichlet conditions do not yield a well-posed elliptic system, and Anderson has suggested boundary conditions that do.
Xiaoyi Liu, Jorge E. Santos, Toby Wiseman   +2 more
doaj   +1 more source

New Results on a Nonlocal Sturm–Liouville Eigenvalue Problem with Fractional Integrals and Fractional Derivatives

Fractal and Fractional
In this paper, we investigate the eigenvalue properties of a nonlocal Sturm–Liouville equation involving fractional integrals and fractional derivatives under different boundary conditions.
Yunyang Zhang, Shaojie Chen, Jing Li
doaj   +1 more source

Global Existence and Extinction of Weak Solutions to a Class of Semiconductor Equations with Fast Diffusion Terms

Journal of Inequalities and Applications, 2008
We consider the transient drift-diffusion model with fast diffusion terms. This problem is not only degenerate but also singular. We first present existence result for general nonlinear diffusivities for the Dirichlet-Neumann mixed boundary value problem.
Bin Wu
doaj   +1 more source

Interior Regularity Estimates for a Degenerate Elliptic Equation with Mixed Boundary Conditions

Axioms, 2018
The Marchaud fractional derivative can be obtained as a Dirichlet-to–Neumann map via an extension problem to the upper half space. In this paper we prove interior Schauder regularity estimates for a degenerate elliptic equation with mixed Dirichlet ...
Jean-Daniel Djida, Arran Fernandez
doaj   +1 more source

On spectral question of the Cauchy-Riemann operator with homogeneous boundary value conditions

Қарағанды университетінің хабаршысы. Математика сериясы, 2018
In this paper we consider the eigenvalue problem for the Cauchy - Riemann operator with homogeneous Dirichlet type boundary conditions. The statement of the problem is justified to the theorem of M. Otelbaev and A.N.
N.S. Imanbaev, B.E. Kanguzhin
doaj   +1 more source