Blow-up theorems of Fujita type for a semilinear parabolic equation with a gradient term

Author:

Na Yang,Zhou Mingjun,Zhou Xu,Gai Guanming

Funder

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Reference23 articles.

1. Fujita, H.: On the blowing up of solutions of the Cauchy problem for u t = Δ u + u 1 + α $u_{t}=\Delta u+u^{1+\alpha}$ . J. Fac. Sci. Univ. Tokyo Sect. I 13, 109–124 (1966)

2. Deng, K., Levine, H.: The role of critical exponents in blow-up theorems: the sequel. J. Math. Anal. Appl. 243(1), 85–126 (2000)

3. Levine, H.: The role of critical exponents in blow-up theorems. SIAM Rev. 32(2), 262–288 (1990)

4. Andreucci, D., Cirmi, G., Leonardi, S., Tedeev, A.: Large time behavior of solutions to the Neumann problem for a quasilinear second order degenerate parabolic equation in domains with noncompact boundary. J. Differ. Equ. 174, 253–288 (2001)

5. Fira, M., Kawohl, B.: Large time behavior of solutions to a quasilinear parabolic equation with a nonlinear boundary condition. Adv. Math. Sci. Appl. 11(1), 113–126 (2001)

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