论文标题
具有非线性记忆项的高阶半线性抛物线方程的爆炸率
Blow-up rates for higher-order semilinear parabolic equations with nonlinear memory term
论文作者
论文摘要
在本文中，我们建立了具有非本地性非线性的高阶半线性抛物线方程的爆炸率，对溶液没有正面假设。我们还为Liouville型定理提供了具有无限记忆非线性术语的高阶半连续性抛物线方程，该术语扮演的主要工具以证明我们的爆炸率结果。最后，我们研究了温和溶液的适当性。
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.
