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http://dx.doi.org/10.4134/CKMS.2008.23.4.555

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

Yoshino, Kunio (FACULTY OF KNOWLEDGE ENGINEERING MUSASHI INSTITUTE OF TECHNOLOGY)
Oka, Yasuyuki (DEPARTMENT OF MATHEMATICS SOPHIA UNIVERSITY)
Publication Information
Communications of the Korean Mathematical Society / v.23, no.4, 2008 , pp. 555-565 More about this Journal
Abstract
We will derive the asymptotic expansions of solutions of the heat equation with hyperfunctions initial data.
Keywords
heat equation; heat kernel; hyperfunctions; Fourier-hyperfunctions; Gel'fand-Shilov space;
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