Results 301 to 310 of about 238,845 (376)

Elliptic Partial Differential Equations

2018
Let us consider the three-dimensional regular domain \(D\subset R^3\) bounded by the Liapunov surface \(S=\partial D\). In the classical mathematical analysis the following formula is proved which is called the Gauss-Ostrogradski-Green’s formula.
Marin Marin, Andreas Öchsner
  +4 more sources

Elliptic Partial Differential Equation involving singularity

, 2017
The aim of this paper is to prove existence of solutions for a partial differential equation involving a singularity with a general nonnegative, Radon measure as source term which is given as \begin{eqnarray} -\Delta u &=& f(x)h(u)+\mu~\text{in}~\Omega ...
A. Panda, Sekhar Ghosh, D. Choudhuri
semanticscholar   +1 more source

A topological approach to nonlocal elliptic partial differential equations on an annulus

Mathematische Nachrichten, 2020
For q≥1 we consider the nonlocal ordinary differential equation −a∫01|y|qdsy′′(t)=λf(t,y(t ...
C. Goodrich
semanticscholar   +1 more source

Elliptic partial differential equations

2014
International ...
BOCCARDO, Lucio, Gisella Croce
openaire   +4 more sources

Orthogonal Collocation for Elliptic Partial Differential Equations

SIAM Journal on Numerical Analysis, 1976
An $O(\rho ^4 )$ collocation method ($\rho $ the mesh size) is presented for solving elliptic partial differential equations on the unit square and a convergence proof is given. The method is shown to compare favorably with the Ritz–Galerkin method, and some numerical results demonstrate the effectiveness of the method.
Prenter, P. M., Russell, R. D.
openaire   +1 more source

Elliptic Partial Differential Equations

2013
Elliptic partial differential equations is one of the main and most active areas in mathematics. This book is devoted to the study of linear and nonlinear elliptic problems in divergence form, with the aim of providing classical re- sults, as well as more recent developments about distributional solutions. For this reason this monograph is addressed to
Boccardo, Lucio, Croce, Gisella
openaire   +1 more source

On Elliptic Partial Differential Equations

2011
This series of lectures will touch on a number of topics in the theory of elliptic differential equations. In Lecture I we discuss the fundamental solution for equations with constant coefficients. Lecture 2 is concerned with Calculus inequalities including the well known ones of Sobolev. In lectures 3 and 4 we present the Hilbert space approach to the
openaire   +2 more sources

Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations

SIAM Journal on Numerical Analysis, 2004
Georgios E Zouraris
exaly   +2 more sources