Citation: |
[1] |
J. Bebernes and D. Eberly, "Mathematical Problems from Combustion Theory," Appl. Math. Sci., 83, Springer-Verlag, New York, 1989. |
[2] |
H. Fujita, On the blowing up of solutions of the Cauchy problem for $u_t=\Delta u+u^{1+\alpha}$, J. Fac. Sci. Univ. Tokyo Sect. A Math., 16 (1966), 109-124. |
[3] |
K. Hayakawa, On nonexistence of global solutions of some semilinear parabolic equations, Proc. Japan Acad., 49 (1973), 503-505.doi: 10.3792/pja/1195519254. |
[4] |
K. Kobayashi, T. Sirao and H. Tanaka, On the growing up problem for semilinear heat equations, J. Math. Soc. Japan, 29 (1977), 407-424.doi: 10.2969/jmsj/02930407. |
[5] |
Howard A. Levine, The role of critical exponents in blowup theorems, SIAM Review, 32 (1990), 262-288.doi: 10.1137/1032046. |
[6] |
P. Meier, On the critical exponent for reaction-diffusion equations, Arch. Rational Mech. Anal., 109 (1990), 63-71.doi: 10.1007/BF00377979. |
[7] |
F. Spitzer, "Principles of Random Walk," Second edition, Graduate Texts in Mathematics, Vol. 34, Springer-Verlag, New York-Heidelberg, 1976. |
[8] |
F. B. Weissler, Existence and nonexistence of global solutions for a semilinear heat equation, Israel J. Math., 38 (1981), 29-40.doi: 10.1007/BF02761845. |