论文标题
一般类型的非线性抛物线方程的全球梯度估计
Global gradient estimates for a general type of nonlinear parabolic equations
论文作者
论文摘要
我们为可能在Riemannian几何形状设置的一般类型的非线性抛物线方程提供了解决方案的全局梯度估计。 根据文献中现有的估计值的有效性，我们的结果是新的，并且由于特殊的抛物线数据，它发现了几种其他规律性效应。 此外，我们的结果包括通过统一方法处理的大量非线性来源，并恢复了许多经典结果作为特殊情况。
We provide global gradient estimates for solutions to a general type of nonlinear parabolic equations, possibly in a Riemannian geometry setting. Our result is new in comparison with the existing ones in the literature, in light of the validity of the estimates in the global domain, and it detects several additional regularity effects due to special parabolic data. Moreover, our result comprises a large number of nonlinear sources treated by a unified approach, and it recovers many classical results as special cases.
