One-sided exact boundary null controllability of entropy solutions to a class of hyperbolic systems of conservation laws with characteristics with constant multiplicity (Q1624207)

The paper is devoted to the local exact one-sided boundary null controllability of entropy solutions. The results apply to a class of non-strictly hyperbolic systems of conservation laws in one space dimension with characteristics with constant multiplicity. The solution to the mixed initial-boundary value problem means the limit of a convergent sequence of corresponding \(\varepsilon\)-approximate front tracking solutions. The main result of the paper is Theorem 1.1. The theorem gives the sufficient conditions of existence of the boundary control which guarantees zero of the solution to the equation at a fixed terminal moment.