论文标题
一般奇异非线性的抛物线系统家族的渐近和淬火行为
Asymptotic and Quenching Behavior for a family of Parabolic System with General Singular Nonlinearities
论文作者
论文摘要
这项研究与具有一般奇异非线性的抛物线系统家族有关，这是MEMS系统的概括。在某种程度上，给出了根据参数和初始数据的全局存在和淬灭的分类。此外，还获得了收敛速率。我们指出的是，与单个MEMS方程相比，在我们的研究中获得系统的收敛速率时，引入了新的想法和技术。实际上，由于线性化椭圆系统的第一个特征值缺乏变分表征，因此获得单个方程的收敛速率的方法在这里无法完全工作。
This study is concerned with a family of parabolic system with general singular nonlinearities, which is a generalization of MEMS system. To some extent, the classification of global existence and quenching according to parameters and initial data is given. Moreover, the convergence rate is also obtained. We point out that compared to single MEMS equation, new ideas and techniques are introduced in obtaining the convergence rate for system in our study. In fact, due to the lack of variational characterization for the first eigenvalue of the linearized elliptic system, the methods in obtaining convergence rate for single equation cannot work completely here.
