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Heat Kernel Method for Quintic and Sextic Equations in Distributions and Hyperfunctions

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Abstract

In this paper, we reformulate the quintic and sextic equations in the spaces of generalized functions. Using the pullbacks and the heat kernels, we investigate the approximate quintic and sextic mappings in the spaces of Schwartz tempered distributions and Fourier hyperfunctions.

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Authors and Affiliations

  1. Faculty of Mathematical Sciences and Statistics, Malayer University, P.O. Box 65719-95863, Malayer, Iran

    Mina Miahi, Farshid Mirzaee & Hamid Khodaei

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  1. Mina Miahi
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  2. Farshid Mirzaee
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  3. Hamid Khodaei
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Correspondence to Hamid Khodaei.

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Miahi, M., Mirzaee, F. & Khodaei, H. Heat Kernel Method for Quintic and Sextic Equations in Distributions and Hyperfunctions. Qual. Theory Dyn. Syst. 22, 53 (2023). https://doi.org/10.1007/s12346-023-00737-8

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