Grow-up for a quasilinear heat equation with a localized reaction in higher dimensions

Author:

Ferreira R.,de Pablo A.

Funder

Ministerio de Economía y Competitividad

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference14 articles.

1. Bai, X., Zhou, S., Zheng, S.: Cauchy problem for fast diffusion equation with localized reaction. Nonlinear Anal. 74, 2508–2514 (2011)

2. de Pablo, A., Vázquez, J.L.: The balance between strong reaction and slow diffusion. Commun. Partial Differ. Equ. 15, 159–183 (1990)

3. Ferreira, R., de Pablo, A.: Grow-up for a quasilinear heat equation with a localized reaction. Preprint, available at arXiv:1801.09525v1

4. Ferreira, R., de Pablo, A., Vázquez, J.L.: Blow-up for the porous medium equation with a localized reaction. J. Differ. Equ. 231, 195–211 (2006)

5. Fujita, H.: On the blowing-up of solutions of the Cauchy problem for $$u_t={\varDelta } u+u^{1+\alpha }$$ u t = Δ u + u 1 + α . J. Fac. Sci. Univ. Tokyo Sec. IA Math. 16, 105–113 (1966)

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