GREEN'S FUNCTIONS OF PARTIAL DIFFERENTIAL EQUATIONS WITH INVOLUTIONS

F. Adrián F. Tojo; Pedro Torres

doi:10.11948/2017070

2017 Volume 7 Issue 3

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F. Adrián F. Tojo, Pedro Torres. GREEN'S FUNCTIONS OF PARTIAL DIFFERENTIAL EQUATIONS WITH INVOLUTIONS[J]. Journal of Applied Analysis & Computation, 2017, 7(3): 1127-1138. doi: 10.11948/2017070

Citation:

F. Adrián F. Tojo, Pedro Torres. GREEN'S FUNCTIONS OF PARTIAL DIFFERENTIAL EQUATIONS WITH INVOLUTIONS[J]. Journal of Applied Analysis & Computation, 2017, 7(3): 1127-1138. doi: 10.11948/2017070

GREEN'S FUNCTIONS OF PARTIAL DIFFERENTIAL EQUATIONS WITH INVOLUTIONS

1 Departamento de Análise Matemática, Facultade de Matemáticas, Universidade de Santiago de Compostela, Spain;
2 Departamento de Matemática Aplicada, Facultad de Ciencias, Universidade de Granada, Spain

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Abstract

Abstract

In this paper we develop a way of obtaining Green's functions of partial differential equations with linear involutions by reducing the equation to a higher-order PDE without involutions. The developed theory is applied to a model of heat transfer in a conducting plate which is bent in half.
- Green's functions /
- PDEs /
- linear involution /
- heat equation
MSC: 35R10;35J08

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References

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