Blow-up phenomena in parabolic problems with time dependent coefficients under Dirichlet boundary conditions
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Bibliographic record
Abstract
A class of initial boundary value problems for the semilinear heat equation with time dependent coefficients is considered. Using a first order differential inequality technique, the influence of the data on the behaviour of the solutions (blow-up in finite or infinite time, global existence) is investigated. Lower and upper bounds are derived for the blow-up time when blow-up occurs.
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|---|---|---|
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