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一类具有源项和p-Laplacian耗散项热方程解的爆破

Blow-Up for fast Diffusive p-Laplacian with Sources
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摘要 文章利用能量法研究了一类具有初边值源、项和p-Laplacian耗散项热方程解,并且得到当E(0)>0时解的爆破,同时给出解爆破的充分条件. By using Energy method we study the blow-up of solutions for the heat equations with fast diffusive p-Laplacian and sources, and initial boundary value, which satisfy E(0) 〉0. At last,we obtain the sufficient for the blow-up of solutions.
作者 常美珍
出处 《太原师范学院学报(自然科学版)》 2012年第4期45-47,共3页 Journal of Taiyuan Normal University:Natural Science Edition
关键词 源项 能量法 爆破 初边值 sources energy method blow-up,initial boundary
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参考文献3

  • 1VitillaroE. Global nonexistence theorems for a class of evolution equtions with dissipation[J]. Arch. Ration. , 1999,149 : 155- 182.
  • 2Liu W. Blow-up of the solutong for a p-Laplacian eqution with positive initial energy[J]. Acta. Appl. Math. , 2008,103:141- 146.
  • 3Yin J. Jin C. Critical extinction and blow-up exponents for fast diffusive p Laplacian with sourees[J]. Mathmatical Mthods in the Applied Sciences, 2007,30 : 1 147-1 167.

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