Blow-Up and Critical Exponents in a Degenerate Parabolic Equation with Weighted Source

Author:

Igarashi Takefumi1

Affiliation:

1. Nihon University

Publisher

Division of Functional Equations, The Mathematical Society of Japan (JST)

Subject

Geometry and Topology,Algebra and Number Theory,Analysis

Reference25 articles.

1. [1] Fujita, H., On the blowing up of solutions of the Cauchy problem for ut= Δu + u1+α, J. Fac. Sci. Univ. Tokyo Sect. IA Math., 13 (1966), 109-124.

2. [2] Galaktionov, V. A., Blow-up for quasilinear heat equations with critical Fujita's exponent, Proc. Roy. Soc. Edinburgh Sect. A, 124 (1994), 517-525.

3. [3] Galaktionov, V. A., Kurdyumov, S. P., Mikhailov, A. P. and Samarskii, A. A., Unbounded solutions of the Cauchy problem for the parabolic equation ut = (uα∇u) + uβ, Soviet Phys. Dokl., 25 (1980), 458-459.

4. [4] Giga, Y. and Umeda, N., Blow-up directions at space infinity for solutions of semilinear heat equations, Bol. Soc. Parana. Mat., 23 (2005), 9-28.

5. [5] Guo, J. S. and Guo, Y. J., On a fast diffusion equation with source, Tohoku Math. J., 53 (2001), 571-579.

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