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Blow-up rates for higher-order semilinear parabolic equations with nonlinear memory term (2005.13627v2)
Published 27 May 2020 in math.AP
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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