논문KCI 등재
Asymptotic expansions of the solutions to the heat equations with hyperfunctions initial value
대한수학회 (The Korean Mathematical Society)|2008.10|대한수학회논문집 (Communications of the KMS)|제23권 제4호|pp. 555-565
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We will derive the asymptotic expansions of solutions of the heat equation with hyperfunctions initial data.
Abstract
We will derive the asymptotic expansions of solutions of the heat equation with hyperfunctions initial data.
참고문헌 (7)
- J. Chung, "A characterization for Fourier hyperfunctions", Publ. RIMS Kyoto Univ, 30, pp.203~208 (1994)
- I. M. Gel’fand, "Generalized Functions, Volume 2, Space of Fundamental and Generalized Functions" (1958), Academy of Sciences Moscow, U. S. S. R
- K. W. Kim, "Fourier hyperfunctions as the boundary values of smooth solutions of the heat equation", Publ RIMS Kyoto Univ, 29, pp.289~300 (1993)
- T. Matsuzawa, "A calculus approach to the hyperfunctions I", Nagoya Math. J, 108, pp.53~66 (1987)
- T. Matsuzawa, "A calculus approach to the hyperfunctions II", Trans. Amer. Math. Soc, 313(2), pp.619~654 (1989)
- S. Nagamachi, "Hyperfunction quantum field theory", Commun. Math. Phys, 46, pp.119~134 (1976)
- K. Yoshino, "Asymptotic expansions of the solutions to the heat equations with generalized functions initial value, Complex Analysis and Potential Theory", Proceedings of the Conference Satellite to ICM, pp.198~206 (2006)
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