Fundamental Solution of Elliptic Equation with Positive Definite Matrix Coefficient

In this paper, we study the fundamental solution of elliptic equations with real constant coefficients   where is a positive definite matrix. We obtained by searching the radial solution so that we solved the equation into ordinary differential equations.

Bibliographic Details
Main Authors: Khoirunisa Khoirunisa, Corina Karim
Format: Article
Language:English
Published: Mathematics Department UIN Maulana Malik Ibrahim Malang 2018-05-01
Series:Cauchy: Jurnal Matematika Murni dan Aplikasi
Online Access:https://ejournal.uin-malang.ac.id/index.php/Math/article/view/4717
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author Khoirunisa Khoirunisa
Corina Karim
author_facet Khoirunisa Khoirunisa
Corina Karim
author_sort Khoirunisa Khoirunisa
collection DOAJ
description In this paper, we study the fundamental solution of elliptic equations with real constant coefficients   where is a positive definite matrix. We obtained by searching the radial solution so that we solved the equation into ordinary differential equations.
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spelling doaj.art-5eb9264bbca74caca50d9a806cd5f7212022-12-22T02:36:14ZengMathematics Department UIN Maulana Malik Ibrahim MalangCauchy: Jurnal Matematika Murni dan Aplikasi2086-03822477-33442018-05-0152646610.18860/ca.v5i2.47173796Fundamental Solution of Elliptic Equation with Positive Definite Matrix CoefficientKhoirunisa Khoirunisa0Corina Karim1Brawijaya UiversityBrawijaya UiversityIn this paper, we study the fundamental solution of elliptic equations with real constant coefficients   where is a positive definite matrix. We obtained by searching the radial solution so that we solved the equation into ordinary differential equations.https://ejournal.uin-malang.ac.id/index.php/Math/article/view/4717
spellingShingle Khoirunisa Khoirunisa
Corina Karim
Fundamental Solution of Elliptic Equation with Positive Definite Matrix Coefficient
Cauchy: Jurnal Matematika Murni dan Aplikasi
title Fundamental Solution of Elliptic Equation with Positive Definite Matrix Coefficient
title_full Fundamental Solution of Elliptic Equation with Positive Definite Matrix Coefficient
title_fullStr Fundamental Solution of Elliptic Equation with Positive Definite Matrix Coefficient
title_full_unstemmed Fundamental Solution of Elliptic Equation with Positive Definite Matrix Coefficient
title_short Fundamental Solution of Elliptic Equation with Positive Definite Matrix Coefficient
title_sort fundamental solution of elliptic equation with positive definite matrix coefficient
url https://ejournal.uin-malang.ac.id/index.php/Math/article/view/4717
work_keys_str_mv AT khoirunisakhoirunisa fundamentalsolutionofellipticequationwithpositivedefinitematrixcoefficient
AT corinakarim fundamentalsolutionofellipticequationwithpositivedefinitematrixcoefficient