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arXiv · 2005.13627

Blow-up rates for higher-order semilinear parabolic equations with nonlinear memory term

Ahmad Z. Fino
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Abstract

In this paper, we establish blow-up rates for higher-order semilinear parabolic equations with nonlocal in time nonlinearity with no positive assumption on the solution. We also give Liouville-type theorem for higher-order semilinear parabolic equation with infinite memory nonlinear term which plays the main tools to prove our blow-up rate result. Finally, we study the well-posedness of mild solutions.

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Ahmad Z. Fino. 2020-05-27. Blow-up rates for higher-order semilinear parabolic equations with nonlinear memory term. https://arxiv.org/abs/2005.13627

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