ASYMPTOTIC EXPANSIONS OF THE SOLUTIONS TO THE HEAT EQUATIONS WITH HYPERFUNCTIONS INITIAL VALUE

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Yoshino, Kunio (FACULTY OF KNOWLEDGE ENGINEERING MUSASHI INSTITUTE OF TECHNOLOGY) ;
Oka, Yasuyuki (DEPARTMENT OF MATHEMATICS SOPHIA UNIVERSITY)

We will derive the asymptotic expansions of solutions of the heat equation with hyperfunctions initial data.

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A characterization of distributions of exponential growth with support in a regular closed set vol.59, pp.10, 2014, https://doi.org/10.1080/17476933.2013.854345