,GLOBAL NONEXISTENCE OF THE SOLUTIONS FOR A NONLINEAR WAVE EQUATION WITH THE Q-LAPLACIAN OPERATOR

• 作 者: Gao Hongjun Zhang Hui
• 机 构: Department of Mathematics and Institute of Mathematics, Nanjing Normal University,Nanjing 210097, Ji
• 出 处: 偏微分方程（英文版）
• 发表日期: 2007年1期
• 关键词: q-Laplacian operator nonlinear wave equation global nonexistence.

We study the global nonexistence of the solutions of the nonlinear q-Laplacian wave equationutt- △qu + (-△)αut = |u|p-2u,where 0 ＜α≤ 1, 2 ≤ q ＜ p. We obtain that the solution blows up in finite time if the initial energy is negative. Meanwhile, we also get the solution blows up in finite time with suitable positive initial euergy undersome conditions.