研究当p∈(1,2)∪(2,+∞)时发展的p-Laplace方程解的障碍现象,得到了慢速扩散情形(p〉2)下解的L^∞-障碍现象和快速扩散情形(1〈p〈2)下解的L^1-障碍现象.此外,对于具有源项慢速扩散方程,得到了解的有限传播性质.
We studied the obstruction phenomenon arising from the solution of the evolution p-Laplace equation with p ∈ (1,2) ∪ (2, + ∞ ). The L^∞ -obstruction phenomenon in the case of p 〉 2 ( slow diffusion) and the Ll-obstruction phenomenon in the case of 1 〈 p 〈 2 (fast diffusion) were proved respectively. For the slow diffusion equation with the source term, we also obtained the finite propagation property of solution.