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

Wenmei Huang; Jingxue Yin; Yifu Wang

doi:10.1016/S0022-247X(03)00052-0

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

Wenmei Huang, Jingxue Yin, Yifu Wang^*

^*Corresponding author for this work

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

We establish the critical Fujita exponents for the solution of the porous medium equation u_t = Δu^m, x ∈ R₊^N, t > 0, subject to the nonlinear boundary condition -∂u^m/∂x₁ = u^p, x₁ = 0, t > 0, in multi-dimension.

Original language	English
Pages (from-to)	369-377
Number of pages	9
Journal	Journal of Mathematical Analysis and Applications
Volume	286
Issue number	2
DOIs	https://doi.org/10.1016/S0022-247X(03)00052-0
Publication status	Published - 15 Oct 2003

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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

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title = "On critical Fujita exponents for the porous medium equation with a nonlinear boundary condition",

abstract = "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.",

author = "Wenmei Huang and Jingxue Yin and Yifu Wang",

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T1 - On critical Fujita exponents for the porous medium equation with a nonlinear boundary condition

AU - Huang, Wenmei

AU - Yin, Jingxue

AU - Wang, Yifu

PY - 2003/10/15

Y1 - 2003/10/15

N2 - 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.

AB - 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.

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U2 - 10.1016/S0022-247X(03)00052-0

DO - 10.1016/S0022-247X(03)00052-0

M3 - Article

AN - SCOPUS:0242508553

SN - 0022-247X

VL - 286

SP - 369

EP - 377

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

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

Abstract

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