中科院数学与系统科学研究院
数学研究所
学术报告
非线性分析研讨班
报告人：Pavol Quittner (Comenius University, Slovakia)
题 目：Liouville theorems for superlinear parabolic problems
时 间：2023.04.20（星期四）17:00-18:00
地 点：Zoom: 648 4468 1942 Passcode: 631978
摘 要：We first consider positive classical solutions to a semilinear heat equation and discuss the associated Liouville-type theorems and their consequences on a priori estimates of solutions (in particular, blow-up rate estimates). Then we discuss the same issues for several related problems: Sign-changing solutions of the semilinear heat equation, parabolic systems with superlinear gradient nonlinearities (not necessarily homogeneous) and the heat equation with nonlinear boundary conditions.
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