论文标题
某些抛物线系统解决方案的规律条件
Regularity conditions for solutions to some parabolic systems
论文作者
论文摘要
我们研究了二阶微分方程的彼得罗夫斯基系统的抛物线抛物线初始和局部规律性的全球和局部规律性。结果是根据问题的右侧归属于某些广义的Sobolev空间的。我们还获得了新的足够条件，在这些条件下，广义解决方案应该是经典的。
We investigate global and local regularity of generalized solutions to parabolic initial-boundary value problem for Petrovskii system of second order differential equations. Results are formulated in terms of the belonging of right-hand sides of the problem to some generalized Sobolev spaces. We also obtain new sufficient conditions under which the generalized solution should be classical.
