JournalszaaVol. 20, No. 1pp. 93–113

Blow-Up and Convergence Results for a One-Dimensional Non-Local Parabolic Problem

  • A. Rougirel

    Universität Zürich, Switzerland
Blow-Up and Convergence Results for a One-Dimensional Non-Local Parabolic Problem cover
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Abstract

Considering a one-dimensional non-local semilinear parabolic problem, it is shown that blow-up in finite time occurs for suitable large initial conditions. The asymptotic behavior of global solutions corresponding to small initial conditions is also investigated. Their convergence in H1H^1-norm to a well determinated stationary solution is proved.

Cite this article

A. Rougirel, Blow-Up and Convergence Results for a One-Dimensional Non-Local Parabolic Problem. Z. Anal. Anwend. 20 (2001), no. 1, pp. 93–113

DOI 10.4171/ZAA/1005