脉冲抛物型方程解的爆破时间的控制

Controlling of blow-up time for impulsive parabolic equation

  • 摘要: 考虑含有脉冲的半线性反应扩散方程的初边值问题.利用上下解原理得到解的存在与唯一性.建立比较原理,由此通过控制脉冲源与反应函数使解在有限时刻发生爆破,并进一步控制解的爆破时刻的区间范围.

     

    Abstract: An impulsive semilinear reactive diffusive equation subject to Dirichlet boundary condition is considered.The existence and uniqueuess are proved by using upper and lower solutions.Moreover,using comparing theorem it can be controlled solution to blow-up in finite time and the interval range of blowing-up time by controlling impulsive sources and reactive function.

     

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