|
|||||
|
|
Self-similar singular solutions of a p-Laplacian evolution equation with absorption |
|
| Authors: | Xinfu Chen Yuanwei Qi |
| Institution: | a Department of Mathematics, University of Pittsburgh, Pittsburgh, PA 15260, USA b Department of Mathematics, Hong Kong University of Science and Technology, Hong Kong c Department of Applied Mathematics, Southeast University, Nanjing 210018, People's Republic of China |
| Abstract: | We consider, for p∈(1,2) and q>1, self-similar singular solutions of the equation vt=div(|∇v|p−2∇v)−vq in Rn×(0,∞); here by self-similar we mean that v takes the form v(x,t)=t−αw(|x|t−αβ) for α=1/(q−1) and β=(q+1−p)/p, whereas singular means that v is non-negative, non-trivial, and  for all x≠0. That is, we consider the ODE problem (0.1) |
| Keywords: | 35K65 35K15 |
| 本文献已被 ScienceDirect 等数据库收录！ | |