【摘要】 探讨拉普拉斯抛物型方程解的稳定性质,说明了当扩散系数0<α<p-1时,可以赋予通常的边界条件。而当α≥p-1时,只要能选出一个合适的测试函数,即使没有边界条件,解的稳定性也总是成立。更多还原

【Abstract】 This paper presents stability properties of solutions of a parabolic equation related to the p-Laplacian. If the diffusion coefficient 0 < α < p- 1,then the boundary value condition can be imposed as usual. While α ≥ p- 1,the stability of the solutions always can be established without any boundary condition.更多还原