Fundamental Solution of Elliptic Equation with Positive Definite Matrix Coefficient

Khoirunisa Khoirunisa, Corina Karim

Abstract


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.

 

Full Text:

PDF

References


Evans, L. C. (1998). Partial Differential Equation. Second Edition. American Mathematical Society: USA

Fitri, S. (2016). Campanato Type Estimates for Solutions of an Elliptic Systems Class. International Interdisciplinary Studies Seminar Proceeding. 12-17. Malang: Universitas Brawijaya.

Friedman, A. (1964). Partial Differential Equation of Parbolic Type. Dover Publication,Inc: New York.

Friedman, A. (1969). Partial Differential Equation. Dover Publication,Inc: New York.

Leon, S. J. (2001). Aljabar Linear dan Aplikasinya. Erlangga: Jakarta.




DOI: http://dx.doi.org/10.18860/ca.v5i2.4717

Refbacks

  • There are currently no refbacks.

Comments on this article

View all comments


Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

Editorial Office
Mathematics Department,
Universitas Islam Negeri Maulana Malik Ibrahim Malang
Jalan Gajayana 50 Malang, Jawa Timur, Indonesia 65144
Phone (+62) 81336397956, Faximile (+62) 341 558933
e-mail: cauchy@uin-malang.ac.id / jo_alkanderi57@yahoo.co.id
 

Creative Commons License
Cauchy (ISSN: 2086-0382 / E-ISSN: 2477-3344) by http://ejournal.uin-malang.ac.id/index.php/Math is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.