Total Versus Single Point Blow-up Solutions for a Semilinear Parabolic Equation

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Abstract

In this paper, we investigate the blow-up set of solutions of a parabolic equation with localized and non-localized reactions. We completely classify blow-up solutions into total blow-up cases and single point blow-up cases.

Keywords:

Single point blow-up;total blow-up;non-local problem
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Total Versus Single Point Blow-up Solutions for a Semilinear Parabolic Equation. (2007). Journal of Partial Differential Equations, 20(2), 183-192. https://gsp.tricubic.dev/jpde/article/view/4098