论文标题
可变系数对非线性边界条件半线性热方程解决方案的全球存在的影响
Influence of variable coefficients on global existence of solutions of semilinear heat equations with nonlinear boundary conditions
论文作者
论文摘要
我们考虑具有非线性边界条件的半线性抛物线方程。我们提供的条件可以保证在所有解决方案的有限时间内使用非平凡的初始数据，可以保证解决方案的全球存在以及爆炸。结果取决于可变系数的行为为$ t \ to \ infty。$。
We consider semilinear parabolic equations with nonlinear boundary conditions. We give conditions which guarantee global existence of solutions as well as blow-up in finite time of all solutions with nontrivial initial data. The results depend on the behavior of variable coefficients as $t \to \infty.$
