Well‐posedness of nonlinear wave equation with combined power‐type nonlinearities |
| |
| Authors: | Xu Runzhang Xu Chuang Liu Yang Yu Tao |
| |
| Institution: | 1. College of Science, Harbin Engineering University, 150001, People's Republic of China;2. Department of Mathematics, Harbin Institute of Technology, 150080, People's Republic of China;3. College of Mathematics and Computer Science, Northwest University for Nationalities, Yuzhong Campus, 730124, People's Republic of China |
| |
| Abstract: | In this paper, we study the initial boundary‐value problem with combined power‐type nonlinearities by utilizing potential well method. We provide an algorithm to compute the depth of the potential well with the help of Mathematica, and derive the invariant subsets, global existence and blowup of solutions. Moreover, we obtain the invariant subsets, global existence and blowup of solutions for the critical case. Copyright © 2011 John Wiley & Sons, Ltd. |
| |
| Keywords: | initial boundary‐value problem global existence finite time blowup potential well depth |
|
|
