The paper is devoted to investigating a semilinear parabolic equation with a nonlinear gradient source term:

$ u_t = u_{xx}+x^m|u_x|^p, \ \ t>0, \ \ 0<x<1, $

中文翻译：

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一类具梯度非线性热方程的整体解的渐近行为

本文致力于研究带有非线性梯度源项的半线性抛物方程：

$ u_t = u_ {xx} + x ^ m | u_x | ^ p，\\ t> 0，\\ 0 <x <1，$