Blow-up Estimates of the Positive Solution of a Parabolic System

Michael Pedersen, Lin Zhigui

    Research output: Book/ReportReportResearchpeer-review

    Abstract

    This paper establishes the blowup estimates for the systems: $u_t-\Delta u=0,$ $v_t-\Delta v=0$ in $B_R\times (0,T)$, $B_R\subset\Bbb R^n$, with the nonlinear boundary conditions $\frac{\partial u}{\partial \eta}=u^{m_1}v^{n_1}$ and $\frac{\partial v}{\partial \eta}=u^{m_2}v^{n_2}$ on $S_R\times (0,T)$ where $0\leq m_1
    Original languageEnglish
    Publication statusPublished - 1999

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