论文标题
衰减估计的时间段演化方程与时间相关系数
Decay estimates for the time-fractional evolution equations with time-dependent coefficients
论文作者
论文摘要
在本文中，考虑了时间分数退化进化方程的初始值问题。首先，在线性情况下，我们获得了溶液的衰减估计值的最佳速率。还针对非线性操作员（例如：P-Laplacian，多孔培养基运算符，退化操作员，平均曲率运算符和Kirchhoff操作员）建立了衰减估计值。最后，给出了所获得的结果的某些应用，以得出时间分数Fisher-kpp-type方程的全局溶液的衰减估计值，以及具有非线性源的时间折叠多孔培养基方程。
In this paper, the initial-boundary value problems for the time-fractional degenerate evolution equations are considered. Firstly, in the linear case, we obtain the optimal rates of decay estimates of the solutions. The decay estimates are also established for the time-fractional evolution equations with nonlinear operators such as: p-Laplacian, the porous medium operator, degenerate operator, mean curvature operator, and Kirchhoff operator. At the end, some applications of the obtained results are given to derive the decay estimates of global solutions for the time-fractional Fisher-KPP-type equation and the time-fractional porous medium equation with the nonlinear source.
