Heat polynomial analogues for equations with higher order time derivatives |
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Authors: | GN Hile Alexander Stanoyevitch |
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Institution: | a Mathematics Department, University of Hawaii, Honolulu, HI 96822, USA b Mathematics Department, University of Guam, UOG Station, Mangilao, GU 96923, USA |
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Abstract: | We generalize the heat polynomials for the heat equation to more general partial differential equations, of higher order with respect to both the time variable and the space variables. Whereas the heat equation requires only one family of polynomials, for an equation of the ?th order with respect to time we introduce ? families of polynomials. These families correspond to the ? initial conditions specified by the Cauchy problem. |
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