Results 71 to 80 of about 5,151 (167)

Adaptive Lavrentiev Regularization of Singular and Ill-Conditioned Discrete Boundary Value Problems in the Robust Multigrid Technique

Mathematics
The paper presents a multigrid algorithm with the effective procedure for finding problem-dependent components of smoothers. The discrete Neumann-type boundary value problem is taken as a model problem.
Sergey I. Martynenko, Aleksey Yu. Varaksin   +1 more
doaj   +1 more source

Lp estimates for Dirichlet-to-Neumann operator and applications

Electronic Journal of Differential Equations, 2015
In this article, we consider the time dependent linear elliptic problem with dynamic boundary condition. We recall the corresponding Dirichlet-to-Neumann operator on $\Gamma$ denoted by $-\Lambda_\gamma$.
Toufic El Arwadi, Toni Sayah
doaj  

Nonlocal problems with Neumann boundary conditions

, 2014
We introduce a new Neumann problem for the fractional Laplacian arising from a simple probabilistic consideration, and we discuss the basic properties of this model. We can consider both elliptic and parabolic equations in any domain. In addition,we formulate problems with nonhomogeneous Neumann conditions, and also with mixed Dirichlet and Neumann ...
Dipierro, Serena, Ros-Oton, Xavier, Valdinoci, Enrico   +2 more
openaire   +2 more sources

Review on Some Boundary Value Problems Defining the Mean First-Passage Time in Cell Migration

Axioms
The mean first-passage time represents the average time for a migrating cell within its environment, starting from a certain position, to reach a specific location or target for the first time.
Hélia Serrano, Ramón F. Álvarez-Estrada   +1 more
doaj   +1 more source

Almost global existence for the Neumann problem of quasilinear wave equations outside star-shaped domains in 3D

Electronic Journal of Differential Equations, 2017
In this article, we prove the almost global existence of solutions for quasilinear wave equations in the complement of star-shaped domains in three dimensions, with a Neumann boundary condition.
Lulu Ren, Jie Xin
doaj  

Self-similar solutions of a multi-phase Stefan problem on the half-line

Современная математика: Фундаментальные направления
In this paper, we study self-similar solutions of the multiphase Stefan problem for the heat equation on the half-line x 0 with constant initial data and Dirichlet or Neumann boundary conditions. In the case of the Dirichlet boundary condition, we prove
E. Yu. Panov
doaj   +1 more source

Multiple positive solutions for a singular elliptic equation with Neumann boundary condition in two dimensions

Electronic Journal of Differential Equations, 2009
Let $Omegasubset mathbb{R}^2$ be a bounded domain with $C^2$ boundary. In this paper, we are interested in the problem $$displaylines{ -Delta u+u = h(x,u) e^{u^2}/|x|^eta,quad u>0 quad ext{in } Omega, cr frac{partial u}{partial u}= lambda psi u^q ...
Bhatia Sumit Kaur, K. Sreenadh
doaj  

Study of the mathematical model for absorption and diffusion in ultra-napkins

Le Matematiche, 1995
We anlyse a mathematical model for absorption and diffusion of a fluid in ultra-napkins. We consider a diffusion equation coupled with an ordinary differential equation, subjected to a discontinuous Neumann boundary condition.We prove the existence and ...
Paola Mannucci
doaj  

Eigenfunctions for rectangles with Neumann boundary conditions

, 2013
Consider the eigenfunctions $u$ for a ree rectangular membrane wo that $-Δu=λu$ on $\mathcal R(c,d)=(0,d)\times(0,d)$. In this note we show that if if $u>0$ on $\partial \mathcal R(c,d)) then $u\equiv C$ for some positive constant.
openaire   +2 more sources

Optimal error estimates of the diffuse domain method for second order parabolic equations. [PDF]

BIT Numer Math
Hao W, Ju L, Xu Y.
europepmc   +1 more source