论文标题
关于一类交叉扩散系统的弱解决方案的积极性
On the Positivity of Weak Solutions to a Class of Cross Diffusion Systems
论文作者
论文摘要
我们建立了一类跨扩散系统的弱(和弱)解决方案的阳性,这是受数学生物学/生态学模型的启发,尤其是shigesada-kawasaki-teramoto(SKT)模型的启发。将提供示例和反例,以表明我们的纠缠几乎是最佳的。
We establish the positivity of weak (and very weak) solutions to a class of cross diffusion systems which is inspired by models in mathematical biology/ecology, in particular the Shigesada-Kawasaki-Teramoto (SKT) model in population biology. Examples and counterexamples will be provided to show that our contions are near optimal.