On the growing up problem for semilinear heat equations

Kusuo KOBAYASHI; Tunekiti SIRAO; Hiroshi TANAKA

doi:10.2969/jmsj/02930407

Kusuo KOBAYASHI, Tunekiti SIRAO, Hiroshi TANAKA

著者情報

ジャーナルフリー

1977 年 29 巻 3 号 p. 407-424

DOI https://doi.org/10.2969/jmsj/02930407

詳細

Published: 1977 Received: 1976/01/17 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 著者情報訂正内容: Wrong : Hiroshi TANAKA⁴⁾, Kusuo KOBAYASHI¹⁾²⁾, Tunekiti SIRAO³⁾
Right : Kusuo KOBAYASHI¹⁾²⁾, Tunekiti SIRAO³⁾, Hiroshi TANAKA⁴⁾

訂正日: 2006/10/20 訂正理由: - 訂正箇所: 所属機関情報訂正内容: 訂正前 :
1) Department of Mathematics Hiroshima University
2) Department of Mathematics Japan Toyama University
3) Department of Mathematics Faculty of Science Tokyo Metropolitan University
4) Department of Mathematics Faculty of Science Hiroshima University

訂正後 :
1) Department of Mathematics Hiroshima University
2) Department of Mathematics Toyama University
3) Department of Mathematics Faculty of Science Tokyo Metropolitan University
4) Department of Mathematics Faculty of Science Hiroshima University

訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) H. Fujita, On the blowing up of solutions of the Cauchy problem for u_t=Δu+u¹+α, J. Sci. Univ. Tokyo, Sect. I, 13 (1966), 109-124.
2) H. Fujita, On some nonexistence and nonuniqueness theorems for nonlinear parabolic equations, Proc. Symp. Pure Math., AMS, 18 (1969), 105-113.
3) K. Hayakawa, On nonexistence of global solutions of some semilinear parabolic differential equations, Proc. Japan Acad., 49 (1973), 503-505.
4) K. Hayakawa, On the limit state of solutions of some semilinear diffusion equations, Osaka J. Math., 12 (1975), 767-776.
5) Y. Kametaka, On nonlinear diffusion equations, Sugaku, 26 (1974), 137-148. (In Japanese.)
6) Ya. I. Kanel', On the stability of the solutions of the equations of combustion theory with finite initial functions, Mat. Sb., 65 (1964), 398-413. (In Russian.)
7) A. Kolmogoroff, I. Petrovsky and N. Piscounoff, Étude de l'équation de la diffusion avec croissance de la quantité de matière et son application a un probleme biologique, Bull. Moskov Gos. Univ., Sect. A, 1 (1937), 1-25.
8) K. Masuda, On the growth of solutions of nonlinear diffusion equation u_t=Δu+F(u), Publ. RIMS, Kyoto Univ., 9 (1974), 675-682.
9) S. Sugitani, On nonexistence of global solutions for some nonlinear integral equations, Osaka J. Math., 12 (1975), 45-51.

Right : [1] H. Fujita, On the blowing up of solutions of the Cauchy problem for u_t=Δu+u¹+α, J. Sci. Univ. Tokyo, Sect. I, 13 (1966), 109-124.
[2] H. Fujita, On some nonexistence and nonuniqueness theorems for nonlinear parabolic equations, Proc. Symp. Pure Math., AMS, 18 (1969), 105-113.
[3] K. Hayakawa, On nonexistence of global solutions of some semilinear parabolic differential equations, Proc. Japan Acad., 49 (1973), 503-505.
[4] K. Hayakawa, On the limit state of solutions of some semilinear diffusion equations, Osaka J. Math., 12 (1975), 767-776.
[5] Y. Kametaka, On nonlinear diffusion equations, Sugaku, 26 (1974), 137-148. (In Japanese.)
[6] Ya. I. Kanel', On the stability of the solutions of the equations of combustion theory with finite initial functions, Mat. Sb., 65 (1964), 398-413. (In Russian.)
[7] A. Kolmogoroff, I. Petrovsky and N. Piscounoff, Étude de l'équation de la diffusion avec croissance de la quantité de matière et son application à un problème biologique, Bull. Moskov Gos. Univ., Sect. A, 1 (1937), 1-25.
[8] K. Masuda, On the growth of solutions of nonlinear diffusion equation u_t=Δu+F(u), Publ. RIMS, Kyoto Univ., 9 (1974), 675-682.
[9] S. Sugitani, On nonexistence of global solutions for some nonlinear integral equations, Osaka J. Math., 12 (1975), 45-51.

訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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