论文标题

非线性非寄生抛物线方程的爆破问题,在非线性非局部边界条件下吸收

Blow-up problem for nonlinear nonlocal parabolic equation with absorption under nonlinear nonlocal boundary condition

论文作者

Gladkov, Alexander

论文摘要

在本文中,我们考虑了非线性非寄生抛物线方程的初始边界值问题,并在非线性非局部边界条件和非负初始基准下吸收。我们证明了比较原则,全球存在和解决方案的爆炸。

In this paper we consider initial boundary value problem for nonlinear nonlocal parabolic equation with absorption under nonlinear nonlocal boundary condition and nonnegative initial datum. We prove comparison principle, global existence and blow-up of solutions.

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