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

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

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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Veröffentlicht in:Qualitative theory of dynamical systems 2023-06, Vol.22 (2), Article 53
Hauptverfasser: Miahi, Mina, Mirzaee, Farshid, Khodaei, Hamid
Format: Artikel
Sprache:eng
Schlagworte:
Difference and Functional Equations
Dynamical Systems and Ergodic Theory
Kernels
Mathematical analysis
Mathematics
Mathematics and Statistics
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Zusammenfassung: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.
ISSN:1575-5460
1662-3592
DOI:10.1007/s12346-023-00737-8