Shi Peng, Jiang Min, Zeng Fugeng, Huang Yao
School of Date Science and Information Engineering, Guizhou Minzu University, Guiyang 550025, China.
Math Biosci Eng. 2021 Mar 24;18(3):2832-2848. doi: 10.3934/mbe.2021144.
In this paper, we study the initial boundary value problem for a class of fractional p-Laplacian Kirchhoff type diffusion equations with logarithmic nonlinearity. Under suitable assumptions, we obtain the extinction property and accurate decay estimates of solutions by virtue of the logarithmic Sobolev inequality. Moreover, we discuss the blow-up property and global boundedness of solutions.
在本文中，我们研究了一类具有对数非线性的分数阶p-拉普拉斯基尔霍夫型扩散方程的初边值问题。在适当的假设下，借助对数索伯列夫不等式，我们得到了解的熄灭性质和精确的衰减估计。此外，我们还讨论了解的爆破性质和全局有界性。
