论文标题
对抛物线反应 - 扩散系统的隔离溶液的存在最小化程序
A minimization procedure to the existence of segregated solutions to parabolic reaction-diffusion systems
论文作者
论文摘要
我们研究了在许多物理应用中引起的一类具有强相互作用的反应扩散系统的隔离解决方案的存在。这些特殊的解决方案是作为扰动功能系列的最小化器的弱极限。我们通过最小化的程序证明了一些先验估计，该程序在抛物线理论中是非标准的：我们的方法纯粹是变异的，所有信息均已编码在我们考虑的功能家庭中。
We study the existence of segregated solutions to a class of reaction-diffusion systems with strong interactions, arising in many physical applications. These special solutions are obtained as weak limits of minimizers of a family of perturbed functionals. We prove some a priori estimates through a minimization procedure which is nonstandard in the parabolic theory: our approach is purely variational and all the information is encoded in the family of functionals we consider.
