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Nonlinear Diffusion Problems With Free Boundaries: Convergence, Transition Speed, and Zero Number Arguments

Research output: Contribution to journalArticlepeer-review

50 Citations (Scopus)

Abstract

This paper continues the investigation of [Du and Lou, 'J. Eur. Math. Soc. (JEMS)', arXiv:1301.5373, 2013], where the long-time behavior of positive solutions to a nonlinear diffusion equation of the form 'ut = uₓₓ + f(u)' for 'x' over a varying interval '(g(t), h(t))' was examined.
Original languageEnglish
Pages (from-to)3555-3584
JournalSIAM Journal on Mathematical Analysis
Volume47
Issue number5
DOIs
Publication statusPublished - 2015

Keywords

  • Partial Differential Equations

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