Uniqueness in the cauchy problem for the heat equation

Proceedings of the Edinburgh Mathematical Society

Volumn 42, Issue 3, 1999, Pages 455-468

  Chung, Soon Yeong ^a  

^a Sogang University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 22844456433     PISSN: 00130915     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0013091500020459     Document Type: Article

References (11)

1. S.-Y. CHUNG and D. KIM, An example of nonuniqueness of the Cauchy problem for the heat equation, Comm. Partial Differential Equations 19 (1994), 1257-1261.
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3. A. FRIEDMAN, Partial differential equations of parabolic type (Englewood Cliffs, N.J.: Prentice Hall, Inc. 1964).
4. R. M. HAYNE, Uniqueness in the Cauchy problem for the parabolic equations, Trans. Amer. Math. Soc. 241 (1978), 373-399.
5. H. KOMATSU, Introduction to the theory of hyperfunctions (Tokyo: Iwanami 1978, (in Japanese)).
6. H. KOMATSU, Ultradistributions I; Structure theorems and a characterization, J. Fac. Sei. Univ. Tokyo, Sect. IA 20 (1973), 25-105.
7. P. C. ROSENBLOOM and D. V. WIDDER, A temperature function which vanishes initially, Amer. Math. Monthly 65 (1958), 607-609.
8. V. L. SHAPIRO, The uniqueness of solutions of the heat equation in an infinite strip, Trans. Amer. Math. Soc. 125 (1966), 326-361.
9. S. TÄCKLIND, Sur les classes quasianalytiques des solutions des équations aux dérivées partielles du type parabolique, Nova Acta Soc. Sci. Uppsalla 10 (1936), 1-57.
10. A. N. TYCHONOFF, Uniqueness theorem for the heat equation, Mat. Sb. 42 (1935), 199-216.
11. D. V. WIDDER, The heat equation (New York and London: Academic Press 1975).