标题： 反应扩散系统中在仅涉及交叉吸收效应的放松假设下的质量控制全局存在性 显示英文标题

标题： Global existence in reaction-diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptive effects

摘要： 我们引入了反应扩散系统解的广义概念并证明了它们的整体存在性。 对反应函数的唯一限制除了正则性、拟正性和质量控制之外是特殊的，因为它仅控制交叉吸收项的增长。 结果涵盖了非线性扩散，并且不依赖于熵估计。 显示英文摘要

摘要： We introduce a generalized concept of solutions for reaction-diffusion systems and prove their global existence. The only restriction on the reaction function beyond regularity, quasipositivity and mass control is special in that it merely controls the growth of cross-absorptive terms. The result covers nonlinear diffusion and does not rely on an entropy estimate.