论文标题
扩展的Fisher-Kolmogorov P.D.E.的双层解决方案
Double layered solutions to the extended Fisher-Kolmogorov P.D.E.
论文作者
论文摘要
在假设相应的O.D.E.的最小杂聚糖集的假设下，我们为扩展的Fisher-Kolmogorov P.D.E.构建了双层溶液。满足分离条件。我们工作的目的是提供扩展的Fisher-Kolmogorov方程，这是二维最小解决方案的第一个例子，因为这些解决方案在相变模型中起着至关重要的作用，并且与De Giorgi的猜测密切相关。
We construct double layered solutions to the extended Fisher-Kolmogorov P.D.E., under the assumption that the set of minimal heteroclinics of the corresponding O.D.E. satisfies a separation condition. The aim of our work is to provide for the extended Fisher-Kolmogorov equation, the first examples of two-dimensional minimal solutions, since these solutions play a crucial role in phase transition models, and are closely related to the De Giorgi conjecture.
