Explicit solution for Lamé and other PDE systems |
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Authors: | Alexei Rodionov |
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Affiliation: | (1) Departamento de matemáticas, Universidad de Antioquia, AA 1226 Medellin, Colombia |
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Abstract: | We provide a general series form solution for second-order linear PDE system with constant coefficients and prove a convergence theorem. The equations of three dimensional elastic equilibrium are solved as an example. Another convergence theorem is proved for this particular system. We also consider a possibility to represent solutions in a finite form as partial sums of the series with terms depending on several complex variables. |
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Keywords: | systems of linear partial differential equations constant coefficient explicit solutions several complex variables elasticity |
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