Abstract
This paper studies a class of variational inequalities with degenerate parabolic operators and symmetric structure, which is an extension of the parabolic equation in a bounded domain. By solving a series of penalty problems, the existence and uniqueness of the solutions in the weak sense are proved by the energy method and a limit process.
Funder
Key R$\&$D Projects of Weinan Science and Technology Bureau
Subject
Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)