Open AccessBlow-Up and Convergence Results for a One-Dimensional Non-Local Parabolic Problem
Author(s) -
Arnaud Rougirel
Publication year - 2001
Publication title -
zeitschrift für analysis und ihre anwendungen
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.567
H-Index - 35
eISSN - 1661-4534
pISSN - 0232-2064
DOI - 10.4171/zaa/1005
Subject(s) - convergence (economics) , mathematics , mathematical analysis , mathematical optimization , economics , economic growth
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 H-norm to a well determinated stationary solution is proved.
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