On critical Fujita exponents for the porous medium equation with a nonlinear boundary condition

Wenmei Huang, Jingxue Yin, Yifu Wang*

*此作品的通讯作者

科研成果: 期刊稿件 › 文章 › 同行评审

6 引用 （Scopus）
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摘要

We establish the critical Fujita exponents for the solution of the porous medium equation ut = Δum, x ∈ R+N, t > 0, subject to the nonlinear boundary condition -∂um/∂x1 = up, x1 = 0, t > 0, in multi-dimension.

源语言英语
页（从-至）369-377
页数9
期刊Journal of Mathematical Analysis and Applications
卷286
期2
DOI
出版状态已出版 - 15 10月 2003

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引用此

Huang, W., Yin, J., & Wang, Y. (2003). On critical Fujita exponents for the porous medium equation with a nonlinear boundary condition. Journal of Mathematical Analysis and Applications, 286(2), 369-377. https://doi.org/10.1016/S0022-247X(03)00052-0