论文标题
计算具有指数增长的条纹上的古代解决方案
Counting Ancient Solutions on A Strip with Exponential Growth
论文作者
论文摘要
我们研究无限条带上的抛物线方程的古老解决方案。我们表明，对于一类抛物线方程的任何多项式增长的古老解决方案都必须恒定。此外，我们表明，与固定指数顺序慢的古代解决方案的矢量空间是有限的。
We study the ancient solutions of parabolic equations on an infinite strip. We show that any polynomial growth ancient solution for a class of parabolic equations must be constant. Furthermore, we show that the vector space of ancient solutions that grow slower than a fixed exponential order is of finite dimension.
