论文标题
一类退化抛物线交叉扩散系统的弱唯一性
Weak-strong uniqueness for a class of degenerate parabolic cross-diffusion systems
论文作者
论文摘要
显示特定类别的退化抛物线交叉扩散系统的有界弱解决方案与后者的最大生存间隔相同的初始条件确定的独特强溶液一致。证明依赖于与系统相关的相对熵建立的估计。
Bounded weak solutions to a particular class of degenerate parabolic cross-diffusion systems are shown to coincide with the unique strong solution determined by the same initial condition on the maximal existence interval of the latter. The proof relies on an estimate established for a relative entropy associated to the system.