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

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)369-377
Number of pages9
JournalJournal of Mathematical Analysis and Applications
Volume286
Issue number2
DOIs
Publication statusPublished - 15 Oct 2003

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