期刊文献+

带有边界阻尼项和源项的非线性波方程的解的爆破

Blow-up Solution for a Nonlinear Wave Equation with Boundary Damping and Interior Source
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摘要 文章利用能量法研究带有边界阻尼和源项的非线性波方程,并且得到正初始能量时非线性波方程的解爆破的充分条件. To study blow-up of solutions for a nonlinear wave equations with boundary damping and interior source terms we Energy method and obtained the sufficient conditions for blow-up of solutions for nonlinear wave equation with positive initial energy.
出处 《太原师范学院学报(自然科学版)》 2013年第4期36-40,共5页 Journal of Taiyuan Normal University:Natural Science Edition
关键词 非线性波方程 能量法 解的爆破 阻尼项 源项 nonlinear wave equations energy method blow-up of solution boundarydamping terms source terms
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参考文献2

  • 1Georgier V,Todorova G. Existence of a solution of the wave equation with nonlinear damping and source terms[J]. J. Differ- ential Equations, 1994,109 : 295-308.
  • 2Feng Hongyingping, Li Shengjia, Zhi Xia. Blow-up solutions for a nonlinear wave equation with boundary damping and interior souree[J]. J. Nonlinear. Anal. , 2012,75 : 2 273-2 280.

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