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- 2016
Nehari流形在一类半线性抛物方程爆破中的应用
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Abstract:
摘要： 研究了一类半线性抛物方程的初边值问题,在具有正初始能量的情况下,通过Nehari流形与凸性方法得到了解的有限时间爆破,进而刻画了初始能量与有限时间爆破的关系。
Abstract: The initial boundary value problem for a class of semilinear parabolic equations with positive initial energy is studied. The finite time blow-up of solutions is obtained by the Nehari manifold and the convexity method. Moreover, the relationship between initial energy and finite time blow-up of solutions is described
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