Critical Curves for Multidimensional Nonlinear Diffusion Equations Coupled by Nonlinear Boundary Sources

Author:

Wang Zejia,Du Runmei

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference14 articles.

1. Deng, K., Fila, M., Levine, H.A.: On critical exponents for a system of heat equations coupled in the boundary conditions. Acta Math. Univ. Comen. New Ser. 63(2), 169–192 (1994)

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

3. DiBenedetto, E.: Degenerate Parabolic Equations. Springer, New York (1993)

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

5. Ferreira, R., de Pablo, A., Quirós, F., Rossi, J.D.: The blow-up profile for a fast diffusion equation with a nonlinear boundary condition. Rocky Mot. J. Math. 33, 123–146 (2003)

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1. Critical exponents for the fast diffusion equation with a nonlinear boundary condition;Journal of Mathematical Analysis and Applications;2020-02

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