论文标题
抛物线方程的爆破问题，加上超线性源和局部线性边界耗散
Blow-up problems for a parabolic equation coupled with superlinear source and local linear boundary dissipation
论文作者
论文摘要
在本文中，我们考虑了抛物线方程以及超线源项和局部线性边界耗散的有限时间爆破结果。使用凹面参数，我们得出了足够的条件，可以在有限的时间内炸毁解决方案。特别是，我们获得了具有任意高初始能量的有限时间爆破解决方案的存在。我们还得出了吹动时间的上限和下限。
In this paper, we consider the finite time blow-up results for a parabolic equation coupled with superlinear source term and local linear boundary dissipation. Using a concavity argument, we derive the sufficient conditions for the solutions to blow up in finite time. In particular, we obtain the existence of finite time blow-up solutions with arbitrary high initial energy. We also derive the upper bound and lower bound of the blow up time.
