论文标题
亚临界半线性热方程的退化爆炸曲线
On degenerate blow-up profiles for the subcritical semilinear heat equation
论文作者
论文摘要
我们考虑在Sobolev亚临界范围内具有超线功率非线性的半线性热方程。我们构建了一个仅在有限的时间内炸毁的解决方案，其原始剖面具有全新的爆炸曲线，该轮廓是横向的。我们的方法是一般的，扩展到仅在原点吹来的其他解决方案的构建，具有多种爆炸曲线，无论是否退化。
We consider the semilinear heat equation with a superlinear power nonlinearity in the Sobolev subcritical range. We construct a solution which blows up in finite time only at the origin, with a completely new blow-up profile, which is cross-shaped. Our method is general and extends to the construction of other solutions blowing up only at the origin, with a large variety of blow-up profiles, degenerate or not.
