论文标题
Petrovskii系统是经典的抛物线问题的通用解决方案的条件
A condition for generalized solutions of a parabolic problem for a Petrovskii system to be classical
论文作者
论文摘要
我们获得了一个新的足够条件，在该条件下，对于Petrovskii系统，抛物线寄生虫初始价值问题的通用解决方案和均匀的Cauchy数据是经典的。该条件是根据问题的右侧归属于某些各向异性的Hörmander空间。
We obtain a new sufficient condition under which generalized solutions to a parabolic initial-boundary-value problem for a Petrovskii system and the homogeneous Cauchy data are classical. The condition is formulated in terms of the belonging of the right-hand sides of the problem to some anisotropic Hörmander spaces.
