International Journal of Advanced Research in Engineering and Applied Sciences
  • Year: 2017
  • Volume: 6
  • Issue: 3

Solving existence and uniqueness of solutions for class of linear elliptic equations of dirichlet problem in divergence form

  • Author:
  • Nigussie Dedefi Waritu, A. N. Mohamad
  • Total Page Count: 15
  • Page Number: 1 to 15

*Department of Mathematics, College of Natural & Computational Sciences, Debre Berhan University, Ethiopia

**Department of Mathematics, College of Natural & Computational Sciences, Debre Berhan University, Ethiopia

Online published on 1 August, 2018.

Abstract

In this article we are concerned with Existence and Uniqueness of Solutions for a Class of Linear Elliptic Equations of Dirichlet Problem in Divergence Form. We obtain Weak Solutions from classical solution for equations by relaxing the Conditions on the solution and on the data f of the given problem.

Keywords

Sobolev spaces, Elliptical point or Domain, Garding's Inequality, Class Linear Functions, Support