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.

 

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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.

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DOI: https://doi.org/10.18860/ca.v5i2.4717

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