JOURNAL BROWSE
Search
Advanced SearchSearch Tips
ASYMPTOTIC EXPANSIONS OF THE SOLUTIONS TO THE HEAT EQUATIONS WITH HYPERFUNCTIONS INITIAL VALUE
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
ASYMPTOTIC EXPANSIONS OF THE SOLUTIONS TO THE HEAT EQUATIONS WITH HYPERFUNCTIONS INITIAL VALUE
Yoshino, Kunio; Oka, Yasuyuki;
  PDF(new window)
 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;
 Language
English
 Cited by
1.
A characterization of distributions of exponential growth with support in a regular closed set, Complex Variables and Elliptic Equations, 2014, 59, 10, 1418  crossref(new windwow)
 References
1.
J. Chung, S.-Y. Chung, and D. Kim, A characterization for Fourier hyperfunctions, Publ. RIMS, Kyoto Univ. 30 (1994), 203-208 crossref(new window)

2.
I. M. Gel'fand and G. E. Shilov, Generalized Functions, Volume 2, Space of Fundamental and Generalized Functions, Academy of Sciences Moscow, U. S. S. R, 1958

3.
K. W. Kim, S.-Y. Chung, and D. Kim, Fourier hyperfunctions as the boundary values of smooth solutions of the heat equation, Publ, RIMS, Kyoto Univ. 29 (1993), 289-300 crossref(new window)

4.
T. Matsuzawa, A calculus approach to the hyperfunctions I, Nagoya Math. J. 108 (1987), 53-66

5.
T. Matsuzawa, A calculus approach to the hyperfunctions II, Trans. Amer. Math. Soc. 313 (1989), no. 2, 619-654 crossref(new window)

6.
S. Nagamachi and N. Mugibayashi, Hyperfunction quantum field theory, Commun. Math. Phys. 46 (1976), 119-134 crossref(new window)

7.
K. Yoshino and Y. Oka, 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 2006 (Gebze Institute of Technology, Turkey) (Tahir Aliyev Azeroglu and Promarz M. Tamrazov eds.), World Scientific Publishing Co. Pte. Ltd (2007), 198-206.