论文标题
非线性热方程平面抗溶液的调制理论
Modulation theory for the flat blowup solutions of nonlinear heat equation
论文作者
论文摘要
在本文中，我们重新审视了一个在一个空间维度中具有AT爆炸曲线的半线性热方程解决方案的证据，Bricmont和Kupainen与Herrero和Herrero和Velázquez已经证明了。尽管我们的方法取决于众所周知的方法，但基于将问题的减少减少到有限维度的方法，然后使用拓扑拍摄方法来解决后者，但我们方法的新颖性在使用调制技术来控制零eigenmode的投影中产生了问题。据我们所知，这是第一次与这种配置文件一起使用调制。我们确实希望这可以简化论点。
In this paper, we revisit the proof of the existence of a solution to the semilinear heat equation in one space dimension with a at blowup profile, already proved by Bricmont and Kupainen together with Herrero and Velázquez. Though our approach relies on the well celebrated method, based on the reduction of the problem to a finite dimensional one, then the use of a topological shooting method to solve the latter, the novelty of our approach lays in the use of a modulation technique to control the projection of the zero eigenmode arising in the problem. Up to our knowledge, this is the first time where modulation is used with this kind of profiles. We do hope that this simplifies the argument.
