黎曼流形上具负指数项抛物型方程的梯度估计

摘要

Let (M, g)be a complete noncompact Riemannian manifold and f is smooth real-valued function. A gradient estimate for positive solutions to the nonlinear parabolic equation with negative exponent is given.%设（M, g）是完备非紧致黎曼流形, f是M上的光滑实值函数。在M上得到了非线性抛物型方程在N-Bakry-Emery Ricci曲率有下界条件下正解的梯度估计。