带有阻尼项的非线性Klein-Gordon方程整体解存在的最佳条件

作者主要研究了一类带有阻尼项的非线性Klein-Gordon方程的柯西问题.根据基态的特征,作者运用势井方法和凹方法得到了该问题解爆破和整体存在的最佳条件,同时还回答了当初值为多小时, 整体解存在这个问题,并且得到了解的整体存在和爆破条件.

Sharp conditions of global existence for the nonlinear Klein-Gordon equation with damping term

This paper is concerned with the Cauchy problem for a class of nonlinear Klein-Gordon equations with damping term. In terms of the characteristics of the ground state, the sharp conditions for blowing up and global existence are derived out by applying the potential well argument and the concavity method. And the question that how small the initial data are, the global solutions exist is answered.