Results 71 to 80 of about 120,390 (184)

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

Numerical solutions of a class of second order boundary value problems on using Bernoulli Polynomials

, 2013
The aim of this paper is to find the numerical solutions of the second order linear and nonlinear differential equations with Dirichlet, Neumann and Robin boundary conditions.
Islam, Md. Shafiqul, Shirin, Afroza
core   +1 more source

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

Partial regularity for the Navier-Stokes-Fourier system

, 2011
This paper addresses a nonstationary flow of heat-conductive incompressible Newtonian fluid with temperature-dependent viscosity coupled with linear heat transfer with advection and a viscous heat source term, under Navier/Dirichlet boundary conditions ...
Arkhipova, Bae, Caffarelli, Campanato, Campanato, Cannon, Choe, Consiglieri, Consiglieri, Diaz, Fan, Giaquinta, Gustafson, Koch, Ladyzhenskaya, Lin, Lions, Luisa Consiglieri, Mahalov, Málek, Scheffer, Scheffer, Scheffer, Seregin, Seregin, Simon, Solonnikov, Tian, Zhou, Zhou, Zhou, Zhou, Zhou, Zhou, Zhou   +34 more
core   +1 more source

Bound states in straight quantum waveguides with combined boundary conditions

, 2001
We investigate the discrete spectrum of the Hamiltonian describing a quantum particle living in the two-dimensional straight strip. We impose the combined Dirichlet and Neumann boundary conditions on different parts of the boundary. Several statements on
Birman M. S., Bulla W., Davies E. B., Duclos P., Evans D. V., Exner P., J. Dittrich, J. Křı́ž, Nazarov S. A., Popov I. Yu.   +9 more
core   +2 more sources