论文标题
各向异性$ p $ laplace方程的Barenblatt解决方案简介
An Introduction to Barenblatt Solutions for Anisotropic $p$-Laplace Equations
论文作者
论文摘要
我们介绍了方程式的Barenblatt类型的基本解决方案$ u_t = \ sum_ {i = 1}^n \ bigG（| U_ {x_i} |^{p_i-2} u_ {x_i} u_ {x_i} \ bigG）_ {x_i} $σ_T= \ Mathbb {r}^n \ times [0，t] $，我们证明了它们对解决方案的规则性属性的重要性。
We introduce Fundamental solutions of Barenblatt type for the equation $u_t=\sum_{i=1}^N \bigg( |u_{x_i}|^{p_i-2}u_{x_i} \bigg)_{x_i}$, $p_i >2 \quad \forall i=1,..,N$, on $Σ_T=\mathbb{R}^N \times[0,T]$, and we prove their importance for the regularity properties of the solutions.
